7913840000 has 480 divisors, whose sum is σ = 23788666440. Its totient is φ = 2590720000.

The previous prime is 7913839961. The next prime is 7913840029. The reversal of 7913840000 is 483197.

It is a super-3 number, since 3×7913840000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 344079989 + ... + 344080011.

Almost surely, 2^7913840000 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 7913840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11894333220).

7913840000 is an abundant number, since it is smaller than the sum of its proper divisors (15874826440).

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

7913840000 is a wasteful number, since it uses less digits than its factorization.

7913840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 7913840000 is about 88959.7661867431. The cubic root of 7913840000 is about 1992.7940684562.

The spelling of 7913840000 in words is "seven billion, nine hundred thirteen million, eight hundred forty thousand".