7961044407720 has 512 divisors, whose sum is σ = 25902858240000. Its totient is φ = 1952793722880.

The previous prime is 7961044407707. The next prime is 7961044407733. The reversal of 7961044407720 is 277044401697.

It is an interprime number because it is at equal distance from previous prime (7961044407707) and next prime (7961044407733).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2082405729 + ... + 2082409551.

It is an arithmetic number, because the mean of its divisors is an integer number (50591520000).

Almost surely, 2^{7961044407720} 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 7961044407720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12951429120000).

7961044407720 is an abundant number, since it is smaller than the sum of its proper divisors (17941813832280).

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

7961044407720 is a wasteful number, since it uses less digits than its factorization.

7961044407720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 7961044407720 in words is "seven trillion, nine hundred sixty-one billion, forty-four million, four hundred seven thousand, seven hundred twenty".