728625045012480 has 9216 divisors, whose sum is σ = 3684167266590720. Its totient is φ = 134536495104000.

The previous prime is 728625045012443. The next prime is 728625045012569. The reversal of 728625045012480 is 84210540526827.

728625045012480 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 2 + 50 + 4 + 501 + 2 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a super-2 number, since 2×728625045012480² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17771342561260 + ... + 17771342561300.

It is an arithmetic number, because the mean of its divisors is an integer number (399757732920).

Almost surely, 2^{728625045012480} is an apocalyptic number.

728625045012480 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 728625045012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842083633295360).

728625045012480 is an abundant number, since it is smaller than the sum of its proper divisors (2955542221578240).

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

728625045012480 is a wasteful number, since it uses less digits than its factorization.

728625045012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 728625045012480 in words is "seven hundred twenty-eight trillion, six hundred twenty-five billion, forty-five million, twelve thousand, four hundred eighty".