7927111680 has 224 divisors, whose sum is σ = 26196023808. Its totient is φ = 2044723200.

The previous prime is 7927111601. The next prime is 7927111721. The reversal of 7927111680 is 861117297.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3808240 + ... + 3810320.

Almost surely, 2^7927111680 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 7927111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13098011904).

7927111680 is an abundant number, since it is smaller than the sum of its proper divisors (18268912128).

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

7927111680 is a wasteful number, since it uses less digits than its factorization.

7927111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 42.

The square root of 7927111680 is about 89034.3286603544. The cubic root of 7927111680 is about 1993.9074324899.

It can be divided in two parts, 79271 and 11680, that added together give a triangular number (90951 = T₄₂₆).

The spelling of 7927111680 in words is "seven billion, nine hundred twenty-seven million, one hundred eleven thousand, six hundred eighty".