7944365205504 has 2304 divisors, whose sum is σ = 31732897996800. Its totient is φ = 1927655718912.

The previous prime is 7944365205467. The next prime is 7944365205523. The reversal of 7944365205504 is 4055025634497.

It is a happy number.

7944365205504 is a `hidden beast` number, since 7 + 9 + 4 + 4 + 3 + 65 + 20 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×7944365205504² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30206711677 + ... + 30206711939.

It is an arithmetic number, because the mean of its divisors is an integer number (13772959200).

Almost surely, 2^{7944365205504} 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 7944365205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15866448998400).

7944365205504 is an abundant number, since it is smaller than the sum of its proper divisors (23788532791296).

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

7944365205504 is a wasteful number, since it uses less digits than its factorization.

7944365205504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 7944365205504 in words is "seven trillion, nine hundred forty-four billion, three hundred sixty-five million, two hundred five thousand, five hundred four".