7917989760 has 256 divisors, whose sum is σ = 28394107200. Its totient is φ = 2111090688.

The previous prime is 7917989759. The next prime is 7917989773. The reversal of 7917989760 is 679897197.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1396852 + ... + 1402508.

Almost surely, 2^7917989760 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 7917989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14197053600).

7917989760 is an abundant number, since it is smaller than the sum of its proper divisors (20476117440).

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

7917989760 is an frugal number, since it uses more digits than its factorization.

7917989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5697 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 63.

The square root of 7917989760 is about 88983.0869322929. The cubic root of 7917989760 is about 1993.1423263645.

The spelling of 7917989760 in words is "seven billion, nine hundred seventeen million, nine hundred eighty-nine thousand, seven hundred sixty".