642166560 has 432 divisors, whose sum is σ = 2688940800. Its totient is φ = 138765312.

The previous prime is 642166543. The next prime is 642166573. The reversal of 642166560 is 65661246.

It is a happy number.

642166560 is a `hidden beast` number, since 642 + 1 + 6 + 6 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1340401 + ... + 1340879.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2^642166560 is an apocalyptic number.

642166560 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 642166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344470400).

642166560 is an abundant number, since it is smaller than the sum of its proper divisors (2046774240).

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

642166560 is a wasteful number, since it uses less digits than its factorization.

642166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 642166560 is about 25341.0055049124. The cubic root of 642166560 is about 862.7452207589.

The spelling of 642166560 in words is "six hundred forty-two million, one hundred sixty-six thousand, five hundred sixty".