5936963760 has 960 divisors, whose sum is σ = 26344980480. Its totient is φ = 1164533760.

The previous prime is 5936963749. The next prime is 5936963779. The reversal of 5936963760 is 673696395.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5936963697 and 5936963706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75151401 + ... + 75151479.

It is an arithmetic number, because the mean of its divisors is an integer number (27442688).

Almost surely, 2^5936963760 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 5936963760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172490240).

5936963760 is an abundant number, since it is smaller than the sum of its proper divisors (20408016720).

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

5936963760 is a wasteful number, since it uses less digits than its factorization.

5936963760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The square root of 5936963760 is about 77051.6953739501. The cubic root of 5936963760 is about 1810.7345959531.

The spelling of 5936963760 in words is "five billion, nine hundred thirty-six million, nine hundred sixty-three thousand, seven hundred sixty".