7802591268864 has 416 divisors, whose sum is σ = 25987285057536. Its totient is φ = 2030480916480.

The previous prime is 7802591268863. The next prime is 7802591268869. The reversal of 7802591268864 is 4688621952087.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7802591268795 and 7802591268804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7802591268863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45244369 + ... + 45416495.

Almost surely, 2^{7802591268864} 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 7802591268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12993642528768).

7802591268864 is an abundant number, since it is smaller than the sum of its proper divisors (18184693788672).

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

7802591268864 is a wasteful number, since it uses less digits than its factorization.

7802591268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172209 (or 172187 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 7802591268864 in words is "seven trillion, eight hundred two billion, five hundred ninety-one million, two hundred sixty-eight thousand, eight hundred sixty-four".