626449564125504 has 896 divisors, whose sum is σ = 2329484474880000. Its totient is φ = 161034206699520.

The previous prime is 626449564125503. The next prime is 626449564125509. The reversal of 626449564125504 is 405521465944626.

626449564125504 is a `hidden beast` number, since 6 + 2 + 6 + 4 + 4 + 9 + 5 + 64 + 12 + 550 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (626449564125503) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 405788227 + ... + 407329085.

Almost surely, 2^{626449564125504} is an apocalyptic number.

626449564125504 is a gapful number since it is divisible by the number (64) 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 626449564125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164742237440000).

626449564125504 is an abundant number, since it is smaller than the sum of its proper divisors (1703034910754496).

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

626449564125504 is a wasteful number, since it uses less digits than its factorization.

626449564125504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540996 (or 1540980 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 63.

The spelling of 626449564125504 in words is "six hundred twenty-six trillion, four hundred forty-nine billion, five hundred sixty-four million, one hundred twenty-five thousand, five hundred four".