7892942486760 has 384 divisors, whose sum is σ = 27147206661120. Its totient is φ = 1985610240000.

The previous prime is 7892942486749. The next prime is 7892942486831. The reversal of 7892942486760 is 676842492987.

7892942486760 is a `hidden beast` number, since 7 + 89 + 2 + 9 + 4 + 2 + 486 + 7 + 60 = 666.

It is a super-2 number, since 2×7892942486760² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 631884115 + ... + 631896605.

It is an arithmetic number, because the mean of its divisors is an integer number (70695850680).

Almost surely, 2^{7892942486760} 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 7892942486760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573603330560).

7892942486760 is an abundant number, since it is smaller than the sum of its proper divisors (19254264174360).

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

7892942486760 is a wasteful number, since it uses less digits than its factorization.

7892942486760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13961 (or 13954 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 7892942486760 in words is "seven trillion, eight hundred ninety-two billion, nine hundred forty-two million, four hundred eighty-six thousand, seven hundred sixty".