642416320 has 168 divisors, whose sum is σ = 1894234464. Its totient is φ = 203194368.

The previous prime is 642416303. The next prime is 642416371. The reversal of 642416320 is 23614246.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 377712 + ... + 379408.

Almost surely, 2^642416320 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 642416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947117232).

642416320 is an abundant number, since it is smaller than the sum of its proper divisors (1251818144).

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

642416320 is a wasteful number, since it uses less digits than its factorization.

642416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 642416320 is about 25345.9330070921. The cubic root of 642416320 is about 862.8570563948.

The spelling of 642416320 in words is "six hundred forty-two million, four hundred sixteen thousand, three hundred twenty".