7867413120 has 512 divisors, whose sum is σ = 30908252160. Its totient is φ = 1662566400.

The previous prime is 7867413109. The next prime is 7867413133. The reversal of 7867413120 is 213147687.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9582310 + ... + 9583130.

It is an arithmetic number, because the mean of its divisors is an integer number (60367680).

Almost surely, 2^7867413120 is an apocalyptic number.

7867413120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7867413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454126080).

7867413120 is an abundant number, since it is smaller than the sum of its proper divisors (23040839040).

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

7867413120 is a wasteful number, since it uses less digits than its factorization.

7867413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 7867413120 is about 88698.4392196390. The cubic root of 7867413120 is about 1988.8894858646.

The spelling of 7867413120 in words is "seven billion, eight hundred sixty-seven million, four hundred thirteen thousand, one hundred twenty".