7918301664 has 576 divisors, whose sum is σ = 29278126080. Its totient is φ = 2037934080.

The previous prime is 7918301659. The next prime is 7918301687. The reversal of 7918301664 is 4661038197.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62348769 + ... + 62348895.

It is an arithmetic number, because the mean of its divisors is an integer number (50830080).

Almost surely, 2^7918301664 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 7918301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639063040).

7918301664 is an abundant number, since it is smaller than the sum of its proper divisors (21359824416).

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

7918301664 is a wasteful number, since it uses less digits than its factorization.

7918301664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7918301664 is about 88984.8395177516. The cubic root of 7918301664 is about 1993.1684971865.

The spelling of 7918301664 in words is "seven billion, nine hundred eighteen million, three hundred one thousand, six hundred sixty-four".