7800951963168 has 864 divisors, whose sum is σ = 29077500082176. Its totient is φ = 2013507984384.

The previous prime is 7800951963083. The next prime is 7800951963169. The reversal of 7800951963168 is 8613691590087.

7800951963168 is a `hidden beast` number, since 7 + 80 + 0 + 9 + 519 + 6 + 31 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (7800951963169) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 432344355 + ... + 432362397.

It is an arithmetic number, because the mean of its divisors is an integer number (33654513984).

Almost surely, 2^{7800951963168} is an apocalyptic number.

7800951963168 is a gapful number since it is divisible by the number (78) 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 7800951963168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14538750041088).

7800951963168 is an abundant number, since it is smaller than the sum of its proper divisors (21276548119008).

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

7800951963168 is a wasteful number, since it uses less digits than its factorization.

7800951963168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18148 (or 18115 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 7800951963168 in words is "seven trillion, eight hundred billion, nine hundred fifty-one million, nine hundred sixty-three thousand, one hundred sixty-eight".