7992427023360 has 3520 divisors, whose sum is σ = 35233218155520. Its totient is φ = 1712282664960.

The previous prime is 7992427023319. The next prime is 7992427023437. The reversal of 7992427023360 is 633207242997.

7992427023360 is a `hidden beast` number, since 7 + 9 + 9 + 2 + 4 + 270 + 2 + 3 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7992427023297 and 7992427023306.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 82396154832 + ... + 82396154928.

It is an arithmetic number, because the mean of its divisors is an integer number (10009436976).

Almost surely, 2^{7992427023360} 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 7992427023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616609077760).

7992427023360 is an abundant number, since it is smaller than the sum of its proper divisors (27240791132160).

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

7992427023360 is a wasteful number, since it uses less digits than its factorization.

7992427023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 7992427023360 in words is "seven trillion, nine hundred ninety-two billion, four hundred twenty-seven million, twenty-three thousand, three hundred sixty".