46787664960 has 448 divisors, whose sum is σ = 170056454400. Its totient is φ = 12102451200.

The previous prime is 46787664949. The next prime is 46787664971. The reversal of 46787664960 is 6946678764.

46787664960 is a `hidden beast` number, since 4 + 6 + 7 + 87 + 66 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46787664949) and next prime (46787664971).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95290315 + ... + 95290805.

It is an arithmetic number, because the mean of its divisors is an integer number (379590300).

Almost surely, 2^46787664960 is an apocalyptic number.

46787664960 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 46787664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85028227200).

46787664960 is an abundant number, since it is smaller than the sum of its proper divisors (123268789440).

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

46787664960 is a wasteful number, since it uses less digits than its factorization.

46787664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 46787664960 in words is "forty-six billion, seven hundred eighty-seven million, six hundred sixty-four thousand, nine hundred sixty".