46672655258880 has 2016 divisors, whose sum is σ = 201518672947200. Its totient is φ = 10126785576960.

The previous prime is 46672655258839. The next prime is 46672655258923. The reversal of 46672655258880 is 8885255627664.

46672655258880 is a `hidden beast` number, since 4 + 6 + 67 + 2 + 6 + 552 + 5 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46672655258799 and 46672655258808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10731810946 + ... + 10731815294.

It is an arithmetic number, because the mean of its divisors is an integer number (99959659200).

Almost surely, 2^{46672655258880} is an apocalyptic number.

46672655258880 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 46672655258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100759336473600).

46672655258880 is an abundant number, since it is smaller than the sum of its proper divisors (154846017688320).

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

46672655258880 is an equidigital number, since it uses as much as digits as its factorization.

46672655258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 72.

The spelling of 46672655258880 in words is "forty-six trillion, six hundred seventy-two billion, six hundred fifty-five million, two hundred fifty-eight thousand, eight hundred eighty".