46676132640 has 288 divisors, whose sum is σ = 168241993920. Its totient is φ = 11751340032.

The previous prime is 46676132623. The next prime is 46676132641. The reversal of 46676132640 is 4623167664.

It is a happy number.

46676132640 is a `hidden beast` number, since 4 + 6 + 6 + 7 + 613 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×46676132640² (a number of 22 digits) contains 22 as substring.

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 (46676132641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8396742 + ... + 8402298.

It is an arithmetic number, because the mean of its divisors is an integer number (584173590).

Almost surely, 2^46676132640 is an apocalyptic number.

46676132640 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 46676132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84120996960).

46676132640 is an abundant number, since it is smaller than the sum of its proper divisors (121565861280).

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

46676132640 is a wasteful number, since it uses less digits than its factorization.

46676132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 5893 counting only the distinct ones).

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

The spelling of 46676132640 in words is "forty-six billion, six hundred seventy-six million, one hundred thirty-two thousand, six hundred forty".