728265504096000 has 4608 divisors, whose sum is σ = 3089422992015360. Its totient is φ = 167674945536000.

The previous prime is 728265504095981. The next prime is 728265504096037. The reversal of 728265504096000 is 690405562827.

728265504096000 is a `hidden beast` number, since 7 + 2 + 8 + 26 + 5 + 5 + 0 + 4 + 0 + 9 + 600 + 0 = 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 (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1901476511809 + ... + 1901476512191.

It is an arithmetic number, because the mean of its divisors is an integer number (670447697920).

Almost surely, 2^{728265504096000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728265504096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544711496007680).

728265504096000 is an abundant number, since it is smaller than the sum of its proper divisors (2361157487919360).

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

728265504096000 is a wasteful number, since it uses less digits than its factorization.

728265504096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 728265504096000 in words is "seven hundred twenty-eight trillion, two hundred sixty-five billion, five hundred four million, ninety-six thousand".