7930005688 has 128 divisors (see below), whose sum is σ = 17635968000. Its totient is φ = 3304913920.

The previous prime is 7930005683. The next prime is 7930005689. The reversal of 7930005688 is 8865000397.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7930005683) 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, 9801828 + ... + 9802636.

It is an arithmetic number, because the mean of its divisors is an integer number (137781000).

Almost surely, 2^7930005688 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 7930005688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817984000).

7930005688 is an abundant number, since it is smaller than the sum of its proper divisors (9705962312).

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

7930005688 is a wasteful number, since it uses less digits than its factorization.

7930005688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 7930005688 is about 89050.5793804847. The cubic root of 7930005688 is about 1994.1500463710.

The spelling of 7930005688 in words is "seven billion, nine hundred thirty million, five thousand, six hundred eighty-eight".