7816972988160 has 3024 divisors, whose sum is σ = 35259011871552. Its totient is φ = 1624375296000.

The previous prime is 7816972988159. The next prime is 7816972988173. The reversal of 7816972988160 is 618892796187.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×7816972988160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 77395772110 + ... + 77395772210.

It is an arithmetic number, because the mean of its divisors is an integer number (11659726148).

Almost surely, 2^{7816972988160} is an apocalyptic number.

7816972988160 is a gapful number since it is divisible by the number (70) 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 7816972988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17629505935776).

7816972988160 is an abundant number, since it is smaller than the sum of its proper divisors (27442038883392).

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

7816972988160 is a wasteful number, since it uses less digits than its factorization.

7816972988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 7816972988160 in words is "seven trillion, eight hundred sixteen billion, nine hundred seventy-two million, nine hundred eighty-eight thousand, one hundred sixty".