5977638576 has 180 divisors, whose sum is σ = 20957637792. Its totient is φ = 1576495872.

The previous prime is 5977638547. The next prime is 5977638577. The reversal of 5977638576 is 6758367795.

5977638576 is a `hidden beast` number, since 59 + 7 + 7 + 6 + 3 + 8 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5977638577) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59145 + ... + 124311.

Almost surely, 2^5977638576 is an apocalyptic number.

5977638576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5977638576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478818896).

5977638576 is an abundant number, since it is smaller than the sum of its proper divisors (14979999216).

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

5977638576 is a wasteful number, since it uses less digits than its factorization.

5977638576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65208 (or 65192 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The square root of 5977638576 is about 77315.1898141627. The cubic root of 5977638576 is about 1814.8603712908.

The spelling of 5977638576 in words is "five billion, nine hundred seventy-seven million, six hundred thirty-eight thousand, five hundred seventy-six".