7940460798816 has 576 divisors, whose sum is σ = 27463136956416. Its totient is φ = 1988369510400.

The previous prime is 7940460798799. The next prime is 7940460798817. The reversal of 7940460798816 is 6188970640497.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7940460798817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100433221 + ... + 100512251.

It is an arithmetic number, because the mean of its divisors is an integer number (47679057216).

Almost surely, 2^{7940460798816} 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 7940460798816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13731568478208).

7940460798816 is an abundant number, since it is smaller than the sum of its proper divisors (19522676157600).

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

7940460798816 is a wasteful number, since it uses less digits than its factorization.

7940460798816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79155 (or 79140 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 7940460798816 in words is "seven trillion, nine hundred forty billion, four hundred sixty million, seven hundred ninety-eight thousand, eight hundred sixteen".