726572658873600 has 8640 divisors, whose sum is σ = 3688424725708800. Its totient is φ = 139485265920000.

The previous prime is 726572658873571. The next prime is 726572658873643. The reversal of 726572658873600 is 6378856275627.

726572658873600 is a `hidden beast` number, since 7 + 2 + 6 + 5 + 7 + 2 + 6 + 5 + 8 + 8 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1394573241340 + ... + 1394573241860.

It is an arithmetic number, because the mean of its divisors is an integer number (426901009920).

Almost surely, 2^{726572658873600} is an apocalyptic number.

726572658873600 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 726572658873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844212362854400).

726572658873600 is an abundant number, since it is smaller than the sum of its proper divisors (2961852066835200).

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

726572658873600 is a wasteful number, since it uses less digits than its factorization.

726572658873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 726572658873600 in words is "seven hundred twenty-six trillion, five hundred seventy-two billion, six hundred fifty-eight million, eight hundred seventy-three thousand, six hundred".