642829824 has 480 divisors, whose sum is σ = 2416407840. Its totient is φ = 167215104.

The previous prime is 642829807. The next prime is 642829849. The reversal of 642829824 is 428928246.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 642829824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8805852 + ... + 8805924.

It is an arithmetic number, because the mean of its divisors is an integer number (5034183).

Almost surely, 2^642829824 is an apocalyptic number.

642829824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642829824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208203920).

642829824 is an abundant number, since it is smaller than the sum of its proper divisors (1773578016).

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

642829824 is a wasteful number, since it uses less digits than its factorization.

642829824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 642829824 is about 25354.0889010037. The cubic root of 642829824 is about 863.0421483711.

The spelling of 642829824 in words is "six hundred forty-two million, eight hundred twenty-nine thousand, eight hundred twenty-four".