642706080 has 192 divisors, whose sum is σ = 2172925440. Its totient is φ = 159105024.

The previous prime is 642706073. The next prime is 642706111. The reversal of 642706080 is 80607246.

It is a super-2 number, since 2×642706080² = 826142210537932800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644142 + ... + 645138.

It is an arithmetic number, because the mean of its divisors is an integer number (11317320).

Almost surely, 2^642706080 is an apocalyptic number.

642706080 is a gapful number since it is divisible by the number (60) 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 642706080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086462720).

642706080 is an abundant number, since it is smaller than the sum of its proper divisors (1530219360).

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

642706080 is a wasteful number, since it uses less digits than its factorization.

642706080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 642706080 is about 25351.6484671116. The cubic root of 642706080 is about 862.9867666111.

The spelling of 642706080 in words is "six hundred forty-two million, seven hundred six thousand, eighty".