7996046157792 has 1344 divisors, whose sum is σ = 31204774637568. Its totient is φ = 1955073024000.

The previous prime is 7996046157773. The next prime is 7996046157811. The reversal of 7996046157792 is 2977516406997.

7996046157792 is a `hidden beast` number, since 7 + 9 + 9 + 6 + 0 + 46 + 1 + 577 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7996046157773) and next prime (7996046157811).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7996046157792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2060303692 + ... + 2060307572.

It is an arithmetic number, because the mean of its divisors is an integer number (23217838272).

Almost surely, 2^{7996046157792} is an apocalyptic number.

7996046157792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7996046157792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602387318784).

7996046157792 is an abundant number, since it is smaller than the sum of its proper divisors (23208728479776).

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

7996046157792 is a wasteful number, since it uses less digits than its factorization.

7996046157792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 7996046157792 in words is "seven trillion, nine hundred ninety-six billion, forty-six million, one hundred fifty-seven thousand, seven hundred ninety-two".