5702336640 has 1536 divisors, whose sum is σ = 28229160960. Its totient is φ = 1021870080.

The previous prime is 5702336603. The next prime is 5702336687. The reversal of 5702336640 is 466332075.

5702336640 is a `hidden beast` number, since 5 + 7 + 0 + 2 + 3 + 3 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5702336595 and 5702336604.

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, 132612459 + ... + 132612501.

It is an arithmetic number, because the mean of its divisors is an integer number (18378360).

Almost surely, 2^5702336640 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 5702336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114580480).

5702336640 is an abundant number, since it is smaller than the sum of its proper divisors (22526824320).

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

5702336640 is a wasteful number, since it uses less digits than its factorization.

5702336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 5702336640 is about 75513.8175435463. The cubic root of 5702336640 is about 1786.5600466065.

The spelling of 5702336640 in words is "five billion, seven hundred two million, three hundred thirty-six thousand, six hundred forty".