642232680 has 256 divisors, whose sum is σ = 2180044800. Its totient is φ = 150543360.

The previous prime is 642232667. The next prime is 642232739. The reversal of 642232680 is 86232246.

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, 1940115 + ... + 1940445.

It is an arithmetic number, because the mean of its divisors is an integer number (8515800).

Almost surely, 2^642232680 is an apocalyptic number.

642232680 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 642232680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090022400).

642232680 is an abundant number, since it is smaller than the sum of its proper divisors (1537812120).

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

642232680 is a wasteful number, since it uses less digits than its factorization.

642232680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 642232680 is about 25342.3100762342. The cubic root of 642232680 is about 862.7748302921.

The spelling of 642232680 in words is "six hundred forty-two million, two hundred thirty-two thousand, six hundred eighty".