7117779880512 has 336 divisors, whose sum is σ = 24346596285120. Its totient is φ = 2033206769664.

The previous prime is 7117779880469. The next prime is 7117779880513. The reversal of 7117779880512 is 2150889777117.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 7117779880512.

It is not an unprimeable number, because it can be changed into a prime (7117779880513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725041428 + ... + 725051244.

Almost surely, 2^{7117779880512} is an apocalyptic number.

7117779880512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7117779880512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12173298142560).

7117779880512 is an abundant number, since it is smaller than the sum of its proper divisors (17228816404608).

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

7117779880512 is a wasteful number, since it uses less digits than its factorization.

7117779880512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18415 (or 18392 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 63.

The spelling of 7117779880512 in words is "seven trillion, one hundred seventeen billion, seven hundred seventy-nine million, eight hundred eighty thousand, five hundred twelve".