7880611129344 has 480 divisors, whose sum is σ = 24066707464800. Its totient is φ = 2568543436800.

The previous prime is 7880611129331. The next prime is 7880611129393. The reversal of 7880611129344 is 4439211160887.

7880611129344 is a `hidden beast` number, since 7 + 8 + 8 + 0 + 611 + 12 + 9 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1544912394 + ... + 1544917494.

It is an arithmetic number, because the mean of its divisors is an integer number (50138973885).

Almost surely, 2^{7880611129344} 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 7880611129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033353732400).

7880611129344 is an abundant number, since it is smaller than the sum of its proper divisors (16186096335456).

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

7880611129344 is a wasteful number, since it uses less digits than its factorization.

7880611129344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 7880611129344 in words is "seven trillion, eight hundred eighty billion, six hundred eleven million, one hundred twenty-nine thousand, three hundred forty-four".