7791261020544 has 128 divisors (see below), whose sum is σ = 20787325171200. Its totient is φ = 2585573996544.

The previous prime is 7791261020527. The next prime is 7791261020563. The reversal of 7791261020544 is 4450201621977.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7791261020493 and 7791261020502.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 490718334 + ... + 490734210.

It is an arithmetic number, because the mean of its divisors is an integer number (162400977900).

Almost surely, 2^{7791261020544} 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 7791261020544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393662585600).

7791261020544 is an abundant number, since it is smaller than the sum of its proper divisors (12996064150656).

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

7791261020544 is a wasteful number, since it uses less digits than its factorization.

7791261020544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21480 (or 21468 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 7791261020544 in words is "seven trillion, seven hundred ninety-one billion, two hundred sixty-one million, twenty thousand, five hundred forty-four".