479428957437696 has 3456 divisors, whose sum is σ = 1849862201241600. Its totient is φ = 121558692003840.

The previous prime is 479428957437649. The next prime is 479428957437709. The reversal of 479428957437696 is 696734759824974.

479428957437696 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 2 + 89 + 5 + 7 + 437 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×479428957437696² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 1026614469655 + ... + 1026614470121.

It is an arithmetic number, because the mean of its divisors is an integer number (535261053600).

Almost surely, 2^{479428957437696} 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 479428957437696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924931100620800).

479428957437696 is an abundant number, since it is smaller than the sum of its proper divisors (1370433243803904).

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

479428957437696 is a wasteful number, since it uses less digits than its factorization.

479428957437696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 673 counting only the distinct ones).

The product of its digits is 138265989120, while the sum is 90.

The spelling of 479428957437696 in words is "four hundred seventy-nine trillion, four hundred twenty-eight billion, nine hundred fifty-seven million, four hundred thirty-seven thousand, six hundred ninety-six".