578672640 has 768 divisors, whose sum is σ = 2641766400. Its totient is φ = 116785152.

The previous prime is 578672623. The next prime is 578672651. The reversal of 578672640 is 46276875.

578672640 is a `hidden beast` number, since 578 + 6 + 72 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 25159669 + ... + 25159691.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^578672640 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 578672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

578672640 is an abundant number, since it is smaller than the sum of its proper divisors (2063093760).

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

578672640 is a wasteful number, since it uses less digits than its factorization.

578672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

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

The square root of 578672640 is about 24055.6155606129. The cubic root of 578672640 is about 833.3184224888.

The spelling of 578672640 in words is "five hundred seventy-eight million, six hundred seventy-two thousand, six hundred forty".