7692687636480 has 3456 divisors, whose sum is σ = 36750895534080. Its totient is φ = 1455921561600.

The previous prime is 7692687636353. The next prime is 7692687636503. The reversal of 7692687636480 is 846367862967.

7692687636480 is a `hidden beast` number, since 7 + 6 + 9 + 2 + 6 + 87 + 63 + 6 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7692687636399 and 7692687636408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 248151214065 + ... + 248151214095.

It is an arithmetic number, because the mean of its divisors is an integer number (10633939680).

Almost surely, 2^{7692687636480} is an apocalyptic number.

7692687636480 is a gapful number since it is divisible by the number (70) 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 7692687636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375447767040).

7692687636480 is an abundant number, since it is smaller than the sum of its proper divisors (29058207897600).

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

7692687636480 is a wasteful number, since it uses less digits than its factorization.

7692687636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 7692687636480 in words is "seven trillion, six hundred ninety-two billion, six hundred eighty-seven million, six hundred thirty-six thousand, four hundred eighty".