966476611584 has 360 divisors, whose sum is σ = 3073309201872. Its totient is φ = 290224865280.

The previous prime is 966476611553. The next prime is 966476611591. The reversal of 966476611584 is 485116674669.

It is a happy number.

966476611584 is a `hidden beast` number, since 9 + 6 + 6 + 4 + 7 + 6 + 611 + 5 + 8 + 4 = 666.

It is a super-5 number, since 5×966476611584⁵ (a number of 61 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183285172 + ... + 183290444.

Almost surely, 2^966476611584 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 966476611584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536654600936).

966476611584 is an abundant number, since it is smaller than the sum of its proper divisors (2106832590288).

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

966476611584 is a wasteful number, since it uses less digits than its factorization.

966476611584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431 (or 5402 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 966476611584 in words is "nine hundred sixty-six billion, four hundred seventy-six million, six hundred eleven thousand, five hundred eighty-four".