7654991121792 has 960 divisors, whose sum is σ = 28545535339200. Its totient is φ = 2023731247104.

The previous prime is 7654991121779. The next prime is 7654991121829. The reversal of 7654991121792 is 2971211994567.

7654991121792 is a `hidden beast` number, since 7 + 6 + 549 + 9 + 1 + 12 + 1 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 415052923 + ... + 415071365.

It is an arithmetic number, because the mean of its divisors is an integer number (29734932645).

Almost surely, 2^{7654991121792} is an apocalyptic number.

7654991121792 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 7654991121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14272767669600).

7654991121792 is an abundant number, since it is smaller than the sum of its proper divisors (20890544217408).

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

7654991121792 is a wasteful number, since it uses less digits than its factorization.

7654991121792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18545 (or 18517 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 7654991121792 in words is "seven trillion, six hundred fifty-four billion, nine hundred ninety-one million, one hundred twenty-one thousand, seven hundred ninety-two".