7601668560 has 300 divisors, whose sum is σ = 26936486148. Its totient is φ = 1986840576.

The previous prime is 7601668499. The next prime is 7601668573. The reversal of 7601668560 is 658661067.

7601668560 is a `hidden beast` number, since 76 + 0 + 16 + 6 + 8 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2386517904 + 5215150656 = 48852^2 + 72216^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22556712 + ... + 22557048.

Almost surely, 2^7601668560 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 7601668560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13468243074).

7601668560 is an abundant number, since it is smaller than the sum of its proper divisors (19334817588).

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

7601668560 is a wasteful number, since it uses less digits than its factorization.

7601668560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7601668560 is about 87187.5481935351. The cubic root of 7601668560 is about 1966.2390181264.

The spelling of 7601668560 in words is "seven billion, six hundred one million, six hundred sixty-eight thousand, five hundred sixty".