7980218112384 has 640 divisors, whose sum is σ = 27693344923200. Its totient is φ = 2234013696000.

The previous prime is 7980218112337. The next prime is 7980218112487. The reversal of 7980218112384 is 4832118120897.

7980218112384 is a `hidden beast` number, since 7 + 9 + 80 + 2 + 181 + 1 + 2 + 384 = 666.

It is a super-2 number, since 2×7980218112384² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7980218112384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1190896234 + ... + 1190902934.

Almost surely, 2^{7980218112384} 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 7980218112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13846672461600).

7980218112384 is an abundant number, since it is smaller than the sum of its proper divisors (19713126810816).

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

7980218112384 is a wasteful number, since it uses less digits than its factorization.

7980218112384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7064 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 7980218112384 in words is "seven trillion, nine hundred eighty billion, two hundred eighteen million, one hundred twelve thousand, three hundred eighty-four".