642066480 has 320 divisors, whose sum is σ = 2457699840. Its totient is φ = 152755200.

The previous prime is 642066473. The next prime is 642066511. The reversal of 642066480 is 84660246.

It is a happy number.

642066480 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 6 + 648 + 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449139 + ... + 1449581.

It is an arithmetic number, because the mean of its divisors is an integer number (7680312).

Almost surely, 2^642066480 is an apocalyptic number.

642066480 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 642066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228849920).

642066480 is an abundant number, since it is smaller than the sum of its proper divisors (1815633360).

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

642066480 is a wasteful number, since it uses less digits than its factorization.

642066480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 642066480 is about 25339.0307628370. The cubic root of 642066480 is about 862.7003995589.

It can be divided in two parts, 6420 and 66480, that added together give a square (72900 = 270²).

The spelling of 642066480 in words is "six hundred forty-two million, sixty-six thousand, four hundred eighty".