46757382042880 has 144 divisors (see below), whose sum is σ = 116745004252800. Its totient is φ = 17920174039040.

The previous prime is 46757382042853. The next prime is 46757382042911. The reversal of 46757382042880 is 8824028375764.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54981 + ... + 9670459.

It is an arithmetic number, because the mean of its divisors is an integer number (810729196200).

Almost surely, 2^{46757382042880} is an apocalyptic number.

46757382042880 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 46757382042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58372502126400).

46757382042880 is an abundant number, since it is smaller than the sum of its proper divisors (69987622209920).

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

46757382042880 is a wasteful number, since it uses less digits than its factorization.

46757382042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9615660 (or 9615646 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 64.

The spelling of 46757382042880 in words is "forty-six trillion, seven hundred fifty-seven billion, three hundred eighty-two million, forty-two thousand, eight hundred eighty".