46894747680 has 576 divisors, whose sum is σ = 180280743552. Its totient is φ = 11003166720.

The previous prime is 46894747667. The next prime is 46894747699. The reversal of 46894747680 is 8674749864.

46894747680 is a `hidden beast` number, since 4 + 6 + 89 + 4 + 7 + 476 + 80 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 69679824 + ... + 69680496.

It is an arithmetic number, because the mean of its divisors is an integer number (312987402).

Almost surely, 2^46894747680 is an apocalyptic number.

46894747680 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 46894747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90140371776).

46894747680 is an abundant number, since it is smaller than the sum of its proper divisors (133385995872).

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

46894747680 is a wasteful number, since it uses less digits than its factorization.

46894747680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 46894747680 in words is "forty-six billion, eight hundred ninety-four million, seven hundred forty-seven thousand, six hundred eighty".