726271263170460 has 768 divisors, whose sum is σ = 2692235427840000. Its totient is φ = 159101804759040.

The previous prime is 726271263170449. The next prime is 726271263170471. The reversal of 726271263170460 is 64071362172627.

726271263170460 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 7 + 1 + 2 + 6 + 3 + 170 + 460 = 666.

726271263170460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (726271263170449) and next prime (726271263170471).

It is a super-2 number, since 2×726271263170460² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 726271263170397 and 726271263170406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2436291537 + ... + 2436589623.

It is an arithmetic number, because the mean of its divisors is an integer number (3505514880000).

Almost surely, 2^{726271263170460} is an apocalyptic number.

726271263170460 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726271263170460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346117713920000).

726271263170460 is an abundant number, since it is smaller than the sum of its proper divisors (1965964164669540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

726271263170460 is a wasteful number, since it uses less digits than its factorization.

726271263170460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298431 (or 298423 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 726271263170460 in words is "seven hundred twenty-six trillion, two hundred seventy-one billion, two hundred sixty-three million, one hundred seventy thousand, four hundred sixty".