46166107680 has 1536 divisors, whose sum is σ = 215335895040. Its totient is φ = 9032601600.

The previous prime is 46166107667. The next prime is 46166107697. The reversal of 46166107680 is 8670166164.

46166107680 is a `hidden beast` number, since 461 + 6 + 6 + 107 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1247732622 + ... + 1247732658.

It is an arithmetic number, because the mean of its divisors is an integer number (140192640).

Almost surely, 2^46166107680 is an apocalyptic number.

46166107680 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 46166107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107667947520).

46166107680 is an abundant number, since it is smaller than the sum of its proper divisors (169169787360).

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

46166107680 is a wasteful number, since it uses less digits than its factorization.

46166107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 46166107680 in words is "forty-six billion, one hundred sixty-six million, one hundred seven thousand, six hundred eighty".