5961716640 has 960 divisors, whose sum is σ = 25291284480. Its totient is φ = 1306368000.

The previous prime is 5961716567. The next prime is 5961716653. The reversal of 5961716640 is 466171695.

5961716640 is a `hidden beast` number, since 596 + 1 + 7 + 16 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83967805 + ... + 83967875.

It is an arithmetic number, because the mean of its divisors is an integer number (26345088).

Almost surely, 2^5961716640 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 5961716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645642240).

5961716640 is an abundant number, since it is smaller than the sum of its proper divisors (19329567840).

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

5961716640 is a wasteful number, since it uses less digits than its factorization.

5961716640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5961716640 is about 77212.1534474981. The cubic root of 5961716640 is about 1813.2475948264.

The spelling of 5961716640 in words is "five billion, nine hundred sixty-one million, seven hundred sixteen thousand, six hundred forty".