46874766670800 has 240 divisors, whose sum is σ = 151333605696000. Its totient is φ = 12401981130240.

The previous prime is 46874766670751. The next prime is 46874766670867. The reversal of 46874766670800 is 807666747864.

46874766670800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259951071 + ... + 260131329.

It is an arithmetic number, because the mean of its divisors is an integer number (630556690400).

Almost surely, 2^{46874766670800} is an apocalyptic number.

46874766670800 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 46874766670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75666802848000).

46874766670800 is an abundant number, since it is smaller than the sum of its proper divisors (104458839025200).

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

46874766670800 is a wasteful number, since it uses less digits than its factorization.

46874766670800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181978 (or 181967 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 69.

The spelling of 46874766670800 in words is "forty-six trillion, eight hundred seventy-four billion, seven hundred sixty-six million, six hundred seventy thousand, eight hundred".