7905269922240 has 448 divisors, whose sum is σ = 26164100275200. Its totient is φ = 2019791241216.

The previous prime is 7905269922223. The next prime is 7905269922271. The reversal of 7905269922240 is 422299625097.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 5123310909 + ... + 5123312451.

Almost surely, 2^{7905269922240} 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 7905269922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082050137600).

7905269922240 is an abundant number, since it is smaller than the sum of its proper divisors (18258830352960).

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

7905269922240 is a wasteful number, since it uses less digits than its factorization.

7905269922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 7905269922240 in words is "seven trillion, nine hundred five billion, two hundred sixty-nine million, nine hundred twenty-two thousand, two hundred forty".