7907879041920 has 1920 divisors, whose sum is σ = 34449037793280. Its totient is φ = 1711864627200.

The previous prime is 7907879041913. The next prime is 7907879041963. The reversal of 7907879041920 is 291409787097.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2987486037 + ... + 2987488683.

It is an arithmetic number, because the mean of its divisors is an integer number (17942207184).

Almost surely, 2^{7907879041920} 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 7907879041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17224518896640).

7907879041920 is an abundant number, since it is smaller than the sum of its proper divisors (26541158751360).

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

7907879041920 is a wasteful number, since it uses less digits than its factorization.

7907879041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 7907879041920 in words is "seven trillion, nine hundred seven billion, eight hundred seventy-nine million, forty-one thousand, nine hundred twenty".