642760416 has 72 divisors (see below), whose sum is σ = 1857865464. Its totient is φ = 210735360.

The previous prime is 642760399. The next prime is 642760423. The reversal of 642760416 is 614067246.

642760416 is a `hidden beast` number, since 6 + 42 + 7 + 604 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726 + ... + 35861.

It is an arithmetic number, because the mean of its divisors is an integer number (25803687).

Almost surely, 2^642760416 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 642760416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928932732).

642760416 is an abundant number, since it is smaller than the sum of its proper divisors (1215105048).

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

642760416 is a wasteful number, since it uses less digits than its factorization.

642760416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36664 (or 36653 counting only the distinct ones).

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

The square root of 642760416 is about 25352.7200907516. The cubic root of 642760416 is about 863.0110856216.

The spelling of 642760416 in words is "six hundred forty-two million, seven hundred sixty thousand, four hundred sixteen".