7746169972320 has 1152 divisors, whose sum is σ = 30823491686400. Its totient is φ = 1813653504000.

The previous prime is 7746169972297. The next prime is 7746169972327. The reversal of 7746169972320 is 232799616477.

7746169972320 is a `hidden beast` number, since 7 + 7 + 4 + 616 + 9 + 9 + 7 + 2 + 3 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7746169972327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1335313420 + ... + 1335319220.

It is an arithmetic number, because the mean of its divisors is an integer number (26756503200).

Almost surely, 2^{7746169972320} 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 7746169972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15411745843200).

7746169972320 is an abundant number, since it is smaller than the sum of its proper divisors (23077321714080).

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

7746169972320 is a wasteful number, since it uses less digits than its factorization.

7746169972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 7746169972320 in words is "seven trillion, seven hundred forty-six billion, one hundred sixty-nine million, nine hundred seventy-two thousand, three hundred twenty".