642660480 has 960 divisors, whose sum is σ = 3039094080. Its totient is φ = 127733760.

The previous prime is 642660467. The next prime is 642660533. The reversal of 642660480 is 84066246.

It is a happy number.

642660480 is a `hidden beast` number, since 6 + 42 + 6 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27941749 + ... + 27941771.

It is an arithmetic number, because the mean of its divisors is an integer number (3165723).

Almost surely, 2^642660480 is an apocalyptic number.

642660480 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 642660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519547040).

642660480 is an abundant number, since it is smaller than the sum of its proper divisors (2396433600).

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

642660480 is a wasteful number, since it uses less digits than its factorization.

642660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 51 counting only the distinct ones).

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

The square root of 642660480 is about 25350.7491013579. The cubic root of 642660480 is about 862.9663564898.

The spelling of 642660480 in words is "six hundred forty-two million, six hundred sixty thousand, four hundred eighty".