7871368320 has 256 divisors, whose sum is σ = 27973296000. Its totient is φ = 2091847680.

The previous prime is 7871368301. The next prime is 7871368327. The reversal of 7871368320 is 238631787.

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

It is not an unprimeable number, because it can be changed into a prime (7871368327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6721335 + ... + 6722505.

Almost surely, 2^7871368320 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 7871368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986648000).

7871368320 is an abundant number, since it is smaller than the sum of its proper divisors (20101927680).

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

7871368320 is a wasteful number, since it uses less digits than its factorization.

7871368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7871368320 is about 88720.7321881419. The cubic root of 7871368320 is about 1989.2227227962. Note that the first 3 decimals are identical.

The spelling of 7871368320 in words is "seven billion, eight hundred seventy-one million, three hundred sixty-eight thousand, three hundred twenty".