946460907624960 has 3840 divisors, whose sum is σ = 4340515789209600. Its totient is φ = 189109506539520.

The previous prime is 946460907624941. The next prime is 946460907625001. The reversal of 946460907624960 is 69426709064649.

946460907624960 is a `hidden beast` number, since 9 + 4 + 6 + 4 + 60 + 9 + 0 + 76 + 2 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 149685416359 + ... + 149685422681.

It is an arithmetic number, because the mean of its divisors is an integer number (1130342653440).

Almost surely, 2^{946460907624960} is an apocalyptic number.

946460907624960 is a gapful number since it is divisible by the number (90) 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 946460907624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170257894604800).

946460907624960 is an abundant number, since it is smaller than the sum of its proper divisors (3394054881584640).

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

946460907624960 is a wasteful number, since it uses less digits than its factorization.

946460907624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 946460907624960 in words is "nine hundred forty-six trillion, four hundred sixty billion, nine hundred seven million, six hundred twenty-four thousand, nine hundred sixty".