577984796640 has 384 divisors, whose sum is σ = 2097851857920. Its totient is φ = 148503435264.

The previous prime is 577984796639. The next prime is 577984796681. The reversal of 577984796640 is 46697489775.

577984796640 is a `hidden beast` number, since 5 + 7 + 7 + 98 + 479 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16445967 + ... + 16481073.

It is an arithmetic number, because the mean of its divisors is an integer number (5463155880).

Almost surely, 2^577984796640 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 577984796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048925928960).

577984796640 is an abundant number, since it is smaller than the sum of its proper divisors (1519867061280).

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

577984796640 is a wasteful number, since it uses less digits than its factorization.

577984796640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35271 (or 35257 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 577984796640 in words is "five hundred seventy-seven billion, nine hundred eighty-four million, seven hundred ninety-six thousand, six hundred forty".