725662020122496 has 2048 divisors, whose sum is σ = 2402044968960000. Its totient is φ = 214786606694400.

The previous prime is 725662020122423. The next prime is 725662020122521. The reversal of 725662020122496 is 694221020266527.

725662020122496 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 6 + 2 + 0 + 20 + 122 + 496 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3114429270796 + ... + 3114429271028.

It is an arithmetic number, because the mean of its divisors is an integer number (1172873520000).

Almost surely, 2^{725662020122496} is an apocalyptic number.

725662020122496 is a gapful number since it is divisible by the number (76) 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 725662020122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201022484480000).

725662020122496 is an abundant number, since it is smaller than the sum of its proper divisors (1676382948837504).

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

725662020122496 is a wasteful number, since it uses less digits than its factorization.

725662020122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 725662020122496 in words is "seven hundred twenty-five trillion, six hundred sixty-two billion, twenty million, one hundred twenty-two thousand, four hundred ninety-six".