46684960000 has 360 divisors, whose sum is σ = 135141790784. Its totient is φ = 15759360000.

The previous prime is 46684959991. The next prime is 46684960039. The reversal of 46684960000 is 6948664.

46684960000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81759715 + ... + 81760285.

Almost surely, 2^46684960000 is an apocalyptic number.

46684960000 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 46684960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67570895392).

46684960000 is an abundant number, since it is smaller than the sum of its proper divisors (88456830784).

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

46684960000 is an frugal number, since it uses more digits than its factorization.

46684960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 46684960000 in words is "forty-six billion, six hundred eighty-four million, nine hundred sixty thousand".