5957761680 has 320 divisors, whose sum is σ = 22201079040. Its totient is φ = 1459814400.

The previous prime is 5957761679. The next prime is 5957761687. The reversal of 5957761680 is 861677595.

5957761680 is a `hidden beast` number, since 5 + 9 + 577 + 6 + 1 + 68 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5957761687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9294160 + ... + 9294800.

It is an arithmetic number, because the mean of its divisors is an integer number (69378372).

Almost surely, 2^5957761680 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 5957761680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100539520).

5957761680 is an abundant number, since it is smaller than the sum of its proper divisors (16243317360).

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

5957761680 is a wasteful number, since it uses less digits than its factorization.

5957761680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5957761680 is about 77186.5382045341. The cubic root of 5957761680 is about 1812.8465409842.

The spelling of 5957761680 in words is "five billion, nine hundred fifty-seven million, seven hundred sixty-one thousand, six hundred eighty".