46882579680 has 480 divisors, whose sum is σ = 173684383488. Its totient is φ = 11894169600.

The previous prime is 46882579669. The next prime is 46882579739. The reversal of 46882579680 is 8697528864.

46882579680 is a `hidden beast` number, since 468 + 8 + 2 + 5 + 7 + 96 + 80 = 666.

46882579680 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 (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24506404 + ... + 24508316.

Almost surely, 2^46882579680 is an apocalyptic number.

46882579680 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 46882579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86842191744).

46882579680 is an abundant number, since it is smaller than the sum of its proper divisors (126801803808).

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

46882579680 is a wasteful number, since it uses less digits than its factorization.

46882579680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 46882579680 in words is "forty-six billion, eight hundred eighty-two million, five hundred seventy-nine thousand, six hundred eighty".