7645871036100 has 144 divisors (see below), whose sum is σ = 24136402671360. Its totient is φ = 1853294620800.

The previous prime is 7645871036093. The next prime is 7645871036123. The reversal of 7645871036100 is 16301785467.

It is a self number, because there is not a number n which added to its sum of digits gives 7645871036100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24937531 + ... + 25242269.

It is an arithmetic number, because the mean of its divisors is an integer number (167613907440).

Almost surely, 2^{7645871036100} 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 7645871036100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068201335680).

7645871036100 is an abundant number, since it is smaller than the sum of its proper divisors (16490531635260).

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

7645871036100 is a wasteful number, since it uses less digits than its factorization.

7645871036100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312370 (or 312363 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 7645871036100 in words is "seven trillion, six hundred forty-five billion, eight hundred seventy-one million, thirty-six thousand, one hundred".