46680946560 has 96 divisors (see below), whose sum is σ = 161195163480. Its totient is φ = 12448250880.

The previous prime is 46680946541. The next prime is 46680946573. The reversal of 46680946560 is 6564908664.

46680946560 is a `hidden beast` number, since 46 + 6 + 80 + 9 + 465 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×46680946560² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46680946497 and 46680946506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4046406 + ... + 4057925.

Almost surely, 2^46680946560 is an apocalyptic number.

46680946560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46680946560 is an abundant number, since it is smaller than the sum of its proper divisors (114514216920).

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

46680946560 is a wasteful number, since it uses less digits than its factorization.

46680946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104356 (or 8104341 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 46680946560 in words is "forty-six billion, six hundred eighty million, nine hundred forty-six thousand, five hundred sixty".