577628640 has 144 divisors (see below), whose sum is σ = 1978337088. Its totient is φ = 153474048.

The previous prime is 577628629. The next prime is 577628659. The reversal of 577628640 is 46826775.

577628640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527934 + ... + 529026.

It is an arithmetic number, because the mean of its divisors is an integer number (13738452).

Almost surely, 2^577628640 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 577628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989168544).

577628640 is an abundant number, since it is smaller than the sum of its proper divisors (1400708448).

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

577628640 is a wasteful number, since it uses less digits than its factorization.

577628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 577628640 is about 24033.9060495792. The cubic root of 577628640 is about 832.8169828803.

The spelling of 577628640 in words is "five hundred seventy-seven million, six hundred twenty-eight thousand, six hundred forty".