977163264 has 616 divisors, whose sum is σ = 3866177088. Its totient is φ = 238878720.

The previous prime is 977163241. The next prime is 977163287. The reversal of 977163264 is 462361779.

977163264 is a `hidden beast` number, since 9 + 7 + 7 + 1 + 632 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (977163241) and next prime (977163287).

It is a tau number, because it is divible by the number of its divisors (616).

It is a super-2 number, since 2×977163264² = 1909696089022267392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57480184 + ... + 57480200.

Almost surely, 2^977163264 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 977163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933088544).

977163264 is an abundant number, since it is smaller than the sum of its proper divisors (2889013824).

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

977163264 is a wasteful number, since it uses less digits than its factorization.

977163264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 977163264 is about 31259.6107461369. The cubic root of 977163264 is about 992.3290618354.

The spelling of 977163264 in words is "nine hundred seventy-seven million, one hundred sixty-three thousand, two hundred sixty-four".