642554880 has 176 divisors, whose sum is σ = 2242594944. Its totient is φ = 155729920.

The previous prime is 642554873. The next prime is 642554893. The reversal of 642554880 is 88455246.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167059 + ... + 170861.

Almost surely, 2^642554880 is an apocalyptic number.

642554880 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 642554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121297472).

642554880 is an abundant number, since it is smaller than the sum of its proper divisors (1600040064).

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

642554880 is a wasteful number, since it uses less digits than its factorization.

642554880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 642554880 is about 25348.6662371021. Note that the first 3 decimals coincide. The cubic root of 642554880 is about 862.9190872385.

The spelling of 642554880 in words is "six hundred forty-two million, five hundred fifty-four thousand, eight hundred eighty".