642476016 has 320 divisors, whose sum is σ = 2316518400. Its totient is φ = 165970944.

The previous prime is 642475991. The next prime is 642476033. The reversal of 642476016 is 610674246.

642476016 is a `hidden beast` number, since 6 + 4 + 2 + 47 + 601 + 6 = 666.

It is a super-2 number, since 2×642476016² = 825550862270464512, which contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2319270 + ... + 2319546.

It is an arithmetic number, because the mean of its divisors is an integer number (7239120).

Almost surely, 2^642476016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642476016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158259200).

642476016 is an abundant number, since it is smaller than the sum of its proper divisors (1674042384).

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

642476016 is a wasteful number, since it uses less digits than its factorization.

642476016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 642476016 is about 25347.1106045640. The cubic root of 642476016 is about 862.8837823241.

The spelling of 642476016 in words is "six hundred forty-two million, four hundred seventy-six thousand, sixteen".