5640192000 has 640 divisors, whose sum is σ = 22266695880. Its totient is φ = 1415577600.

The previous prime is 5640191969. The next prime is 5640192013. The reversal of 5640192000 is 2910465.

5640192000 is a `hidden beast` number, since 5 + 640 + 19 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2453815296 + 3186376704 = 49536^2 + 56448^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 331775992 + ... + 331776008.

Almost surely, 2^5640192000 is an apocalyptic number.

5640192000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5640192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11133347940).

5640192000 is an abundant number, since it is smaller than the sum of its proper divisors (16626503880).

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

5640192000 is an frugal number, since it uses more digits than its factorization.

5640192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5640192000 is about 75101.2117079345. The cubic root of 5640192000 is about 1780.0462892478.

The spelling of 5640192000 in words is "five billion, six hundred forty million, one hundred ninety-two thousand".