649975174890624 has 768 divisors, whose sum is σ = 2121806389248000. Its totient is φ = 189203593420800.

The previous prime is 649975174890619. The next prime is 649975174890659. The reversal of 649975174890624 is 426098471579946.

649975174890624 is a `hidden beast` number, since 6 + 4 + 9 + 9 + 7 + 517 + 4 + 8 + 90 + 6 + 2 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29762119897 + ... + 29762141735.

It is an arithmetic number, because the mean of its divisors is an integer number (2762768736000).

Almost surely, 2^{649975174890624} is an apocalyptic number.

649975174890624 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 649975174890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060903194624000).

649975174890624 is an abundant number, since it is smaller than the sum of its proper divisors (1471831214357376).

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

649975174890624 is a wasteful number, since it uses less digits than its factorization.

649975174890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22457 (or 22442 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 81.

The spelling of 649975174890624 in words is "six hundred forty-nine trillion, nine hundred seventy-five billion, one hundred seventy-four million, eight hundred ninety thousand, six hundred twenty-four".