5640325416 has 192 divisors, whose sum is σ = 17725780800. Its totient is φ = 1601280000.

The previous prime is 5640325367. The next prime is 5640325421. The reversal of 5640325416 is 6145230465.

5640325416 is a `hidden beast` number, since 5 + 640 + 3 + 2 + 5 + 4 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3378630 + ... + 3380298.

It is an arithmetic number, because the mean of its divisors is an integer number (92321775).

Almost surely, 2^5640325416 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 5640325416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8862890400).

5640325416 is an abundant number, since it is smaller than the sum of its proper divisors (12085455384).

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

5640325416 is a wasteful number, since it uses less digits than its factorization.

5640325416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5640325416 is about 75102.0999440096. The cubic root of 5640325416 is about 1780.0603245137.

The spelling of 5640325416 in words is "five billion, six hundred forty million, three hundred twenty-five thousand, four hundred sixteen".