726749966250 has 480 divisors, whose sum is σ = 2468705361408. Its totient is φ = 150057360000.

The previous prime is 726749966177. The next prime is 726749966263. The reversal of 726749966250 is 52669947627.

726749966250 is a `hidden beast` number, since 7 + 2 + 67 + 499 + 66 + 25 + 0 = 666.

It is a super-2 number, since 2×726749966250² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 141196177 + ... + 141201323.

Almost surely, 2^726749966250 is an apocalyptic number.

726749966250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 726749966250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234352680704).

726749966250 is an abundant number, since it is smaller than the sum of its proper divisors (1741955395158).

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

726749966250 is a wasteful number, since it uses less digits than its factorization.

726749966250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 726749966250 in words is "seven hundred twenty-six billion, seven hundred forty-nine million, nine hundred sixty-six thousand, two hundred fifty".