46716696576 has 576 divisors, whose sum is σ = 158120726400. Its totient is φ = 13138329600.

The previous prime is 46716696569. The next prime is 46716696601. The reversal of 46716696576 is 67569661764.

46716696576 is a `hidden beast` number, since 46 + 7 + 16 + 6 + 9 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258103206 + ... + 258103386.

It is an arithmetic number, because the mean of its divisors is an integer number (274515150).

Almost surely, 2^46716696576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46716696576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79060363200).

46716696576 is an abundant number, since it is smaller than the sum of its proper divisors (111404029824).

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

46716696576 is a wasteful number, since it uses less digits than its factorization.

46716696576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 46716696576 in words is "forty-six billion, seven hundred sixteen million, six hundred ninety-six thousand, five hundred seventy-six".