5977762560 has 864 divisors, whose sum is σ = 26998852608. Its totient is φ = 1184071680.

The previous prime is 5977762523. The next prime is 5977762573. The reversal of 5977762560 is 652677795.

5977762560 is a `hidden beast` number, since 5 + 9 + 7 + 7 + 7 + 625 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5977762497 and 5977762506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20401774 + ... + 20402066.

It is an arithmetic number, because the mean of its divisors is an integer number (31248672).

Almost surely, 2^5977762560 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 5977762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499426304).

5977762560 is an abundant number, since it is smaller than the sum of its proper divisors (21021090048).

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

5977762560 is a wasteful number, since it uses less digits than its factorization.

5977762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The square root of 5977762560 is about 77315.9916188107. The cubic root of 5977762560 is about 1814.8729187257.

The spelling of 5977762560 in words is "five billion, nine hundred seventy-seven million, seven hundred sixty-two thousand, five hundred sixty".