7868080033632 has 384 divisors, whose sum is σ = 29218342809600. Its totient is φ = 2003542345728.

The previous prime is 7868080033631. The next prime is 7868080033663. The reversal of 7868080033632 is 2363300808687.

It is a super-2 number, since 2×7868080033632² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (7868080033631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 554713 + ... + 4005479.

It is an arithmetic number, because the mean of its divisors is an integer number (76089434400).

Almost surely, 2^{7868080033632} is an apocalyptic number.

7868080033632 is a gapful number since it is divisible by the number (72) 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 7868080033632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14609171404800).

7868080033632 is an abundant number, since it is smaller than the sum of its proper divisors (21350262775968).

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

7868080033632 is a wasteful number, since it uses less digits than its factorization.

7868080033632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450835 (or 3450821 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 7868080033632 in words is "seven trillion, eight hundred sixty-eight billion, eighty million, thirty-three thousand, six hundred thirty-two".