642577824 has 216 divisors, whose sum is σ = 2168580960. Its totient is φ = 176795136.

The previous prime is 642577807. The next prime is 642577861. The reversal of 642577824 is 428775246.

It is a happy number.

Its product of digits (752640) is a multiple of the sum of its prime divisors (420).

It is a self number, because there is not a number n which added to its sum of digits gives 642577824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1695267 + ... + 1695645.

Almost surely, 2^642577824 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 642577824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084290480).

642577824 is an abundant number, since it is smaller than the sum of its proper divisors (1526003136).

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

642577824 is a wasteful number, since it uses less digits than its factorization.

642577824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 420 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 642577824 is about 25349.1188012522. The cubic root of 642577824 is about 862.9293579980.

The spelling of 642577824 in words is "six hundred forty-two million, five hundred seventy-seven thousand, eight hundred twenty-four".