7686282792960 has 520 divisors, whose sum is σ = 28503678404520. Its totient is φ = 1978984562688.

The previous prime is 7686282792959. The next prime is 7686282792983. The reversal of 7686282792960 is 692972826867.

7686282792960 is a `hidden beast` number, since 7 + 6 + 8 + 62 + 8 + 279 + 296 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2696742014976 + 4989540777984 = 1642176^2 + 2233728^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48027634 + ... + 48187406.

Almost surely, 2^{7686282792960} 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 7686282792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14251839202260).

7686282792960 is an abundant number, since it is smaller than the sum of its proper divisors (20817395611560).

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

7686282792960 is a wasteful number, since it uses less digits than its factorization.

7686282792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159843 (or 159812 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 7686282792960 in words is "seven trillion, six hundred eighty-six billion, two hundred eighty-two million, seven hundred ninety-two thousand, nine hundred sixty".