46387656000 has 672 divisors, whose sum is σ = 195824977920. Its totient is φ = 10257408000.

The previous prime is 46387655939. The next prime is 46387656011. The reversal of 46387656000 is 65678364.

46387656000 is a `hidden beast` number, since 4 + 6 + 3 + 87 + 6 + 560 + 0 + 0 = 666.

46387656000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 15622516 + ... + 15625484.

Almost surely, 2^46387656000 is an apocalyptic number.

46387656000 is a gapful number since it is divisible by the number (40) 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 46387656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97912488960).

46387656000 is an abundant number, since it is smaller than the sum of its proper divisors (149437321920).

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

46387656000 is a wasteful number, since it uses less digits than its factorization.

46387656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 46387656000 in words is "forty-six billion, three hundred eighty-seven million, six hundred fifty-six thousand".