8009942688 has 288 divisors, whose sum is σ = 26364864960. Its totient is φ = 2346278400.

The previous prime is 8009942659. The next prime is 8009942749. The reversal of 8009942688 is 8862499008.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9132906 + ... + 9133782.

It is an arithmetic number, because the mean of its divisors is an integer number (91544670).

Almost surely, 2^8009942688 is an apocalyptic number.

8009942688 is a gapful number since it is divisible by the number (88) 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 8009942688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13182432480).

8009942688 is an abundant number, since it is smaller than the sum of its proper divisors (18354922272).

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

8009942688 is a wasteful number, since it uses less digits than its factorization.

8009942688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8009942688 is about 89498.2831567176. The cubic root of 8009942688 is about 2000.8282143165.

The spelling of 8009942688 in words is "eight billion, nine million, nine hundred forty-two thousand, six hundred eighty-eight".