7928621568 has 480 divisors, whose sum is σ = 29185453440. Its totient is φ = 2017198080.

The previous prime is 7928621543. The next prime is 7928621573. The reversal of 7928621568 is 8651268297.

7928621568 is a `hidden beast` number, since 7 + 9 + 2 + 8 + 621 + 5 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10418308 + ... + 10419068.

It is an arithmetic number, because the mean of its divisors is an integer number (60803028).

Almost surely, 2^7928621568 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 7928621568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14592726720).

7928621568 is an abundant number, since it is smaller than the sum of its proper divisors (21256831872).

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

7928621568 is a wasteful number, since it uses less digits than its factorization.

7928621568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 809 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 7928621568 is about 89042.8075029084. The cubic root of 7928621568 is about 1994.0340185616.

It can be divided in two parts, 792862 and 1568, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 7928621568 in words is "seven billion, nine hundred twenty-eight million, six hundred twenty-one thousand, five hundred sixty-eight".