5961703680 has 252 divisors, whose sum is σ = 21413771820. Its totient is φ = 1589538816.

The previous prime is 5961703639. The next prime is 5961703697. The reversal of 5961703680 is 863071695.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 694427904 + 5267275776 = 26352^2 + 72576^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 929926 + ... + 936314.

It is an arithmetic number, because the mean of its divisors is an integer number (84975285).

Almost surely, 2^5961703680 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 5961703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10706885910).

5961703680 is an abundant number, since it is smaller than the sum of its proper divisors (15452068140).

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

5961703680 is an frugal number, since it uses more digits than its factorization.

5961703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6399 counting only the distinct ones).

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

The square root of 5961703680 is about 77212.0695228408. The cubic root of 5961703680 is about 1813.2462809036.

The spelling of 5961703680 in words is "five billion, nine hundred sixty-one million, seven hundred three thousand, six hundred eighty".