46968697731840 has 288 divisors, whose sum is σ = 151852079586816. Its totient is φ = 12370944983040.

The previous prime is 46968697731763. The next prime is 46968697731869. The reversal of 46968697731840 is 4813779686964.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1428167877 + ... + 1428200763.

It is an arithmetic number, because the mean of its divisors is an integer number (527264165232).

Almost surely, 2^{46968697731840} is an apocalyptic number.

46968697731840 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 46968697731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75926039793408).

46968697731840 is an abundant number, since it is smaller than the sum of its proper divisors (104883381854976).

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

46968697731840 is a wasteful number, since it uses less digits than its factorization.

46968697731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37475 (or 37461 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 78.

The spelling of 46968697731840 in words is "forty-six trillion, nine hundred sixty-eight billion, six hundred ninety-seven million, seven hundred thirty-one thousand, eight hundred forty".