7863840000 has 540 divisors, whose sum is σ = 29219846656. Its totient is φ = 2032128000.

The previous prime is 7863839999. The next prime is 7863840097. The reversal of 7863840000 is 483687.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 61919937 + ... + 61920063.

Almost surely, 2^7863840000 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 7863840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14609923328).

7863840000 is an abundant number, since it is smaller than the sum of its proper divisors (21356006656).

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

7863840000 is a wasteful number, since it uses less digits than its factorization.

7863840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7863840000 is about 88678.2949768431. The cubic root of 7863840000 is about 1988.5883442307.

The spelling of 7863840000 in words is "seven billion, eight hundred sixty-three million, eight hundred forty thousand".