8016788940 has 192 divisors, whose sum is σ = 25096780800. Its totient is φ = 1900191744.

The previous prime is 8016788929. The next prime is 8016788953. The reversal of 8016788940 is 498876108.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11026857 + ... + 11027583.

It is an arithmetic number, because the mean of its divisors is an integer number (130712400).

Almost surely, 2^8016788940 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 8016788940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548390400).

8016788940 is an abundant number, since it is smaller than the sum of its proper divisors (17079991860).

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

8016788940 is a wasteful number, since it uses less digits than its factorization.

8016788940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 8016788940 is about 89536.5229389661. The cubic root of 8016788940 is about 2001.3981007627.

The spelling of 8016788940 in words is "eight billion, sixteen million, seven hundred eighty-eight thousand, nine hundred forty".