664185872490624 has 1920 divisors, whose sum is σ = 2280130985088000. Its totient is φ = 190279964160000.

The previous prime is 664185872490619. The next prime is 664185872490703. The reversal of 664185872490624 is 426094278581466.

664185872490624 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 8 + 5 + 8 + 72 + 490 + 62 + 4 = 666.

It is a super-2 number, since 2×664185872490624² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1108824494677 + ... + 1108824495275.

It is an arithmetic number, because the mean of its divisors is an integer number (1187568221400).

Almost surely, 2^{664185872490624} is an apocalyptic number.

664185872490624 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 664185872490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140065492544000).

664185872490624 is an abundant number, since it is smaller than the sum of its proper divisors (1615945112597376).

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

664185872490624 is a wasteful number, since it uses less digits than its factorization.

664185872490624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 664185872490624 in words is "six hundred sixty-four trillion, one hundred eighty-five billion, eight hundred seventy-two million, four hundred ninety thousand, six hundred twenty-four".