7686670660032 has 672 divisors, whose sum is σ = 25908863518720. Its totient is φ = 1958228213760.

The previous prime is 7686670660027. The next prime is 7686670660037. The reversal of 7686670660032 is 2300660766867.

It is an interprime number because it is at equal distance from previous prime (7686670660027) and next prime (7686670660037).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7686670660037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3049054932 + ... + 3049057452.

Almost surely, 2^{7686670660032} 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 7686670660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954431759360).

7686670660032 is an abundant number, since it is smaller than the sum of its proper divisors (18222192858688).

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

7686670660032 is a wasteful number, since it uses less digits than its factorization.

7686670660032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 7686670660032 in words is "seven trillion, six hundred eighty-six billion, six hundred seventy million, six hundred sixty thousand, thirty-two".