7845936449364 has 144 divisors (see below), whose sum is σ = 22688428771008. Its totient is φ = 2264724624384.

The previous prime is 7845936449339. The next prime is 7845936449371. The reversal of 7845936449364 is 4639446395487.

7845936449364 is a `hidden beast` number, since 7 + 8 + 45 + 9 + 36 + 4 + 493 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7845936449292 and 7845936449301.

It is a congruent number.

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, 836359 + ... + 4048625.

It is an arithmetic number, because the mean of its divisors is an integer number (157558533132).

Almost surely, 2^{7845936449364} 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 7845936449364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11344214385504).

7845936449364 is an abundant number, since it is smaller than the sum of its proper divisors (14842492321644).

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

7845936449364 is a wasteful number, since it uses less digits than its factorization.

7845936449364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212614 (or 3212609 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 72.

The spelling of 7845936449364 in words is "seven trillion, eight hundred forty-five billion, nine hundred thirty-six million, four hundred forty-nine thousand, three hundred sixty-four".