7868252160 has 456 divisors, whose sum is σ = 29443957920. Its totient is φ = 1937768448.

The previous prime is 7868252159. The next prime is 7868252173. The reversal of 7868252160 is 612528687.

7868252160 is a `hidden beast` number, since 7 + 8 + 68 + 2 + 521 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271319026 + ... + 271319054.

Almost surely, 2^7868252160 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 7868252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721978960).

7868252160 is an abundant number, since it is smaller than the sum of its proper divisors (21575705760).

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

7868252160 is an equidigital number, since it uses as much as digits as its factorization.

7868252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 7868252160 is about 88703.1688272747. The cubic root of 7868252160 is about 1988.9601867201.

The spelling of 7868252160 in words is "seven billion, eight hundred sixty-eight million, two hundred fifty-two thousand, one hundred sixty".