7689670660080 has 800 divisors, whose sum is σ = 29707379856000. Its totient is φ = 1833565814784.

The previous prime is 7689670660079. The next prime is 7689670660081. The reversal of 7689670660080 is 800660769867.

It is an interprime number because it is at equal distance from previous prime (7689670660079) and next prime (7689670660081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7689670660081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 377508136 + ... + 377528504.

It is an arithmetic number, because the mean of its divisors is an integer number (37134224820).

Almost surely, 2^{7689670660080} 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 7689670660080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853689928000).

7689670660080 is an abundant number, since it is smaller than the sum of its proper divisors (22017709195920).

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

7689670660080 is a wasteful number, since it uses less digits than its factorization.

7689670660080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20583 (or 20568 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 7689670660080 in words is "seven trillion, six hundred eighty-nine billion, six hundred seventy million, six hundred sixty thousand, eighty".