642672576 has 448 divisors, whose sum is σ = 2398735360. Its totient is φ = 164229120.

The previous prime is 642672557. The next prime is 642672623. The reversal of 642672576 is 675276246.

642672576 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 72 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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, 9592095 + ... + 9592161.

It is an arithmetic number, because the mean of its divisors is an integer number (5354320).

Almost surely, 2^642672576 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 642672576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199367680).

642672576 is an abundant number, since it is smaller than the sum of its proper divisors (1756062784).

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

642672576 is a wasteful number, since it uses less digits than its factorization.

642672576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 642672576 is about 25350.9876730671. The cubic root of 642672576 is about 862.9717706371.

The spelling of 642672576 in words is "six hundred forty-two million, six hundred seventy-two thousand, five hundred seventy-six".