977387664 has 240 divisors, whose sum is σ = 3099176640. Its totient is φ = 263577600.

The previous prime is 977387657. The next prime is 977387693. The reversal of 977387664 is 466783779.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1875724 + ... + 1876244.

It is an arithmetic number, because the mean of its divisors is an integer number (12913236).

Almost surely, 2^977387664 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 977387664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549588320).

977387664 is an abundant number, since it is smaller than the sum of its proper divisors (2121788976).

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

977387664 is a wasteful number, since it uses less digits than its factorization.

977387664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 573 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 57.

The square root of 977387664 is about 31263.1998362292. The cubic root of 977387664 is about 992.4050169347.

The spelling of 977387664 in words is "nine hundred seventy-seven million, three hundred eighty-seven thousand, six hundred sixty-four".