7666759718640 has 240 divisors, whose sum is σ = 28105425575136. Its totient is φ = 1857469900800.

The previous prime is 7666759718599. The next prime is 7666759718641. The reversal of 7666759718640 is 468179576667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7666759718641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12669370 + ... + 13260710.

Almost surely, 2^{7666759718640} 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 7666759718640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052712787568).

7666759718640 is an abundant number, since it is smaller than the sum of its proper divisors (20438665856496).

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

7666759718640 is a wasteful number, since it uses less digits than its factorization.

7666759718640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593008 (or 592999 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 7666759718640 in words is "seven trillion, six hundred sixty-six billion, seven hundred fifty-nine million, seven hundred eighteen thousand, six hundred forty".