46691976960 has 720 divisors, whose sum is σ = 180299196000. Its totient is φ = 11494490112.

The previous prime is 46691976889. The next prime is 46691976973. The reversal of 46691976960 is 6967919664.

46691976960 is a `hidden beast` number, since 466 + 9 + 19 + 76 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 103990816 + ... + 103991264.

It is an arithmetic number, because the mean of its divisors is an integer number (250415550).

Almost surely, 2^46691976960 is an apocalyptic number.

46691976960 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 46691976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90149598000).

46691976960 is an abundant number, since it is smaller than the sum of its proper divisors (133607219040).

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

46691976960 is a wasteful number, since it uses less digits than its factorization.

46691976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 46691976960 in words is "forty-six billion, six hundred ninety-one million, nine hundred seventy-six thousand, nine hundred sixty".