46680316320 has 768 divisors, whose sum is σ = 178711142400. Its totient is φ = 10108600320.

The previous prime is 46680316271. The next prime is 46680316453. The reversal of 46680316320 is 2361308664.

46680316320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205640047 + ... + 205640273.

It is an arithmetic number, because the mean of its divisors is an integer number (232696800).

Almost surely, 2^46680316320 is an apocalyptic number.

46680316320 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 46680316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89355571200).

46680316320 is an abundant number, since it is smaller than the sum of its proper divisors (132030826080).

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

46680316320 is a wasteful number, since it uses less digits than its factorization.

46680316320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 46680316320 in words is "forty-six billion, six hundred eighty million, three hundred sixteen thousand, three hundred twenty".