664112373552000 has 2560 divisors, whose sum is σ = 2664268211404800. Its totient is φ = 163471841280000.

The previous prime is 664112373551999. The next prime is 664112373552059. The reversal of 664112373552000 is 255373211466.

664112373552000 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 1 + 23 + 73 + 552 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 425986127221 + ... + 425986128779.

It is an arithmetic number, because the mean of its divisors is an integer number (1040729770080).

Almost surely, 2^{664112373552000} is an apocalyptic number.

664112373552000 is a gapful number since it is divisible by the number (60) 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 664112373552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332134105702400).

664112373552000 is an abundant number, since it is smaller than the sum of its proper divisors (2000155837852800).

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

664112373552000 is a wasteful number, since it uses less digits than its factorization.

664112373552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 664112373552000 in words is "six hundred sixty-four trillion, one hundred twelve billion, three hundred seventy-three million, five hundred fifty-two thousand".