964164376305 has 288 divisors, whose sum is σ = 1966478072832. Its totient is φ = 450043776000.

The previous prime is 964164376277. The next prime is 964164376321. The reversal of 964164376305 is 503673461469.

964164376305 is a `hidden beast` number, since 96 + 416 + 43 + 76 + 30 + 5 = 666.

It is not a de Polignac number, because 964164376305 - 2¹² = 964164372209 is a prime.

It is a super-2 number, since 2×964164376305² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1375412455 + ... + 1375413155.

It is an arithmetic number, because the mean of its divisors is an integer number (6828048864).

Almost surely, 2^964164376305 is an apocalyptic number.

It is an amenable number.

964164376305 is an abundant number, since it is smaller than the sum of its proper divisors (1002313696527).

964164376305 is a wasteful number, since it uses less digits than its factorization.

964164376305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 964164376305 in words is "nine hundred sixty-four billion, one hundred sixty-four million, three hundred seventy-six thousand, three hundred five".