46859575680 has 384 divisors, whose sum is σ = 171921204000. Its totient is φ = 12189450240.

The previous prime is 46859575663. The next prime is 46859575687. The reversal of 46859575680 is 8657595864.

46859575680 is a `hidden beast` number, since 4 + 6 + 8 + 59 + 575 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46859575687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6372646 + ... + 6379994.

Almost surely, 2^46859575680 is an apocalyptic number.

46859575680 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 46859575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85960602000).

46859575680 is an abundant number, since it is smaller than the sum of its proper divisors (125061628320).

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

46859575680 is an equidigital number, since it uses as much as digits as its factorization.

46859575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7424 (or 7400 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 46859575680 in words is "forty-six billion, eight hundred fifty-nine million, five hundred seventy-five thousand, six hundred eighty".