7653676492764 has 120 divisors (see below), whose sum is σ = 20243079576720. Its totient is φ = 2521443250944.

The previous prime is 7653676492751. The next prime is 7653676492783. The reversal of 7653676492764 is 4672946763567.

7653676492764 is a `hidden beast` number, since 7 + 6 + 5 + 3 + 6 + 76 + 492 + 7 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7653676492692 and 7653676492701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9696282 + ... + 10455870.

It is an arithmetic number, because the mean of its divisors is an integer number (168692329806).

Almost surely, 2^{7653676492764} 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 7653676492764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10121539788360).

7653676492764 is an abundant number, since it is smaller than the sum of its proper divisors (12589403083956).

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

7653676492764 is a wasteful number, since it uses less digits than its factorization.

7653676492764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759969 (or 759958 counting only the distinct ones).

The product of its digits is 1920360960, while the sum is 72.

The spelling of 7653676492764 in words is "seven trillion, six hundred fifty-three billion, six hundred seventy-six million, four hundred ninety-two thousand, seven hundred sixty-four".