664354152000 has 4032 divisors, whose sum is σ = 3424711829760. Its totient is φ = 120766464000.

The previous prime is 664354151987. The next prime is 664354152001. The reversal of 664354152000 is 251453466.

664354152000 is a `hidden beast` number, since 6 + 6 + 4 + 35 + 415 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (664354152001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12534983974 + ... + 12534984026.

Almost surely, 2^664354152000 is an apocalyptic number.

664354152000 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 664354152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712355914880).

664354152000 is an abundant number, since it is smaller than the sum of its proper divisors (2760357677760).

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

664354152000 is a wasteful number, since it uses less digits than its factorization.

664354152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 664354152000 in words is "six hundred sixty-four billion, three hundred fifty-four million, one hundred fifty-two thousand".