642301664 has 48 divisors (see below), whose sum is σ = 1313440128. Its totient is φ = 308956032.

The previous prime is 642301661. The next prime is 642301687. The reversal of 642301664 is 466103246.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 642301664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642301661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88709 + ... + 95675.

It is an arithmetic number, because the mean of its divisors is an integer number (27363336).

Almost surely, 2^642301664 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 642301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656720064).

642301664 is an abundant number, since it is smaller than the sum of its proper divisors (671138464).

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

642301664 is a wasteful number, since it uses less digits than its factorization.

642301664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 642301664 is about 25343.6710837242. The cubic root of 642301664 is about 862.8057202016.

The spelling of 642301664 in words is "six hundred forty-two million, three hundred one thousand, six hundred sixty-four".