577978632 has 512 divisors, whose sum is σ = 2211840000. Its totient is φ = 135302400.

The previous prime is 577978619. The next prime is 577978637. The reversal of 577978632 is 236879775.

577978632 is a `hidden beast` number, since 577 + 9 + 7 + 8 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (577978637) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9796219 + ... + 9796277.

It is an arithmetic number, because the mean of its divisors is an integer number (4320000).

Almost surely, 2^577978632 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 577978632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105920000).

577978632 is an abundant number, since it is smaller than the sum of its proper divisors (1633861368).

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

577978632 is a wasteful number, since it uses less digits than its factorization.

577978632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 577978632 is about 24041.1861604206. The cubic root of 577978632 is about 832.9851534607.

The spelling of 577978632 in words is "five hundred seventy-seven million, nine hundred seventy-eight thousand, six hundred thirty-two".