46632942720 has 768 divisors, whose sum is σ = 202897094400. Its totient is φ = 9605578752.

The previous prime is 46632942701. The next prime is 46632942721. The reversal of 46632942720 is 2724923664.

46632942720 is a `hidden beast` number, since 4 + 6 + 632 + 9 + 4 + 2 + 7 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (46632942721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22537846 + ... + 22539914.

It is an arithmetic number, because the mean of its divisors is an integer number (264188925).

Almost surely, 2^46632942720 is an apocalyptic number.

46632942720 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 46632942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101448547200).

46632942720 is an abundant number, since it is smaller than the sum of its proper divisors (156264151680).

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

46632942720 is a wasteful number, since it uses less digits than its factorization.

46632942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 46632942720 in words is "forty-six billion, six hundred thirty-two million, nine hundred forty-two thousand, seven hundred twenty".