726255684000 has 2304 divisors, whose sum is σ = 3380034438144. Its totient is φ = 143327232000.

The previous prime is 726255683981. The next prime is 726255684023. The reversal of 726255684000 is 486552627.

726255684000 is a `hidden beast` number, since 7 + 26 + 25 + 568 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7487171952 + ... + 7487172048.

It is an arithmetic number, because the mean of its divisors is an integer number (1467028836).

Almost surely, 2^726255684000 is an apocalyptic number.

726255684000 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 726255684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690017219072).

726255684000 is an abundant number, since it is smaller than the sum of its proper divisors (2653778754144).

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

726255684000 is a wasteful number, since it uses less digits than its factorization.

726255684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 726255684000 in words is "seven hundred twenty-six billion, two hundred fifty-five million, six hundred eighty-four thousand".