7974481797792 has 384 divisors, whose sum is σ = 25717931205120. Its totient is φ = 2391151656960.

The previous prime is 7974481797781. The next prime is 7974481797803. The reversal of 7974481797792 is 2977971844797.

7974481797792 is a `hidden beast` number, since 7 + 9 + 7 + 448 + 17 + 9 + 77 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (7974481797781) and next prime (7974481797803).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466526398 + ... + 466543490.

It is an arithmetic number, because the mean of its divisors is an integer number (66973779180).

Almost surely, 2^{7974481797792} is an apocalyptic number.

7974481797792 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 7974481797792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12858965602560).

7974481797792 is an abundant number, since it is smaller than the sum of its proper divisors (17743449407328).

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

7974481797792 is a wasteful number, since it uses less digits than its factorization.

7974481797792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18533 (or 18519 counting only the distinct ones).

The product of its digits is 3136589568, while the sum is 81.

The spelling of 7974481797792 in words is "seven trillion, nine hundred seventy-four billion, four hundred eighty-one million, seven hundred ninety-seven thousand, seven hundred ninety-two".