7660756604160 has 576 divisors, whose sum is σ = 29670410972160. Its totient is φ = 1856276766720.

The previous prime is 7660756604071. The next prime is 7660756604183. The reversal of 7660756604160 is 614066570667.

It is a happy number.

7660756604160 is a `hidden beast` number, since 7 + 6 + 60 + 7 + 566 + 0 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7660756604097 and 7660756604106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1211566759 + ... + 1211573081.

It is an arithmetic number, because the mean of its divisors is an integer number (51511130160).

Almost surely, 2^{7660756604160} 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 7660756604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835205486080).

7660756604160 is an abundant number, since it is smaller than the sum of its proper divisors (22009654368000).

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

7660756604160 is a wasteful number, since it uses less digits than its factorization.

7660756604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9551 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 7660756604160 in words is "seven trillion, six hundred sixty billion, seven hundred fifty-six million, six hundred four thousand, one hundred sixty".