7963117102080 has 660 divisors, whose sum is σ = 33194220132348. Its totient is φ = 1820136407040.

The previous prime is 7963117102079. The next prime is 7963117102117. The reversal of 7963117102080 is 802017113697.

7963117102080 is a `hidden beast` number, since 7 + 9 + 631 + 1 + 7 + 1 + 0 + 2 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1923791192064 + 6039325910016 = 1387008^2 + 2457504^2 .

It is a super-2 number, since 2×7963117102080² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20125350 + ... + 20517210.

Almost surely, 2^{7963117102080} is an apocalyptic number.

7963117102080 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 7963117102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597110066174).

7963117102080 is an abundant number, since it is smaller than the sum of its proper divisors (25231103030268).

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

7963117102080 is a wasteful number, since it uses less digits than its factorization.

7963117102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391912 (or 391878 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 7963117102080 in words is "seven trillion, nine hundred sixty-three billion, one hundred seventeen million, one hundred two thousand, eighty".