5712656640 has 288 divisors, whose sum is σ = 19329045120. Its totient is φ = 1435435008.

The previous prime is 5712656639. The next prime is 5712656647. The reversal of 5712656640 is 466562175.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5712656592 and 5712656601.

It is not an unprimeable number, because it can be changed into a prime (5712656647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4787884 + ... + 4789076.

It is an arithmetic number, because the mean of its divisors is an integer number (67114740).

Almost surely, 2^5712656640 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 5712656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9664522560).

5712656640 is an abundant number, since it is smaller than the sum of its proper divisors (13616388480).

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

5712656640 is a wasteful number, since it uses less digits than its factorization.

5712656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 5712656640 is about 75582.1185201897. The cubic root of 5712656640 is about 1787.6371599316.

The spelling of 5712656640 in words is "five billion, seven hundred twelve million, six hundred fifty-six thousand, six hundred forty".