7940090016 has 192 divisors, whose sum is σ = 23993625600. Its totient is φ = 2551910400.

The previous prime is 7940089981. The next prime is 7940090021. The reversal of 7940090016 is 6100900497.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13954180 + ... + 13954748.

It is an arithmetic number, because the mean of its divisors is an integer number (124966800).

Almost surely, 2^7940090016 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 7940090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11996812800).

7940090016 is an abundant number, since it is smaller than the sum of its proper divisors (16053535584).

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

7940090016 is a wasteful number, since it uses less digits than its factorization.

7940090016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 7940090016 is about 89107.1827407870. The cubic root of 7940090016 is about 1994.9949867023.

The spelling of 7940090016 in words is "seven billion, nine hundred forty million, ninety thousand, sixteen".