5640190164 has 384 divisors, whose sum is σ = 18845568000. Its totient is φ = 1421328384.

The previous prime is 5640190163. The next prime is 5640190169. The reversal of 5640190164 is 4610910465.

5640190164 is a `hidden beast` number, since 5 + 6 + 401 + 90 + 164 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5640190163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13789992 + ... + 13790400.

It is an arithmetic number, because the mean of its divisors is an integer number (49077000).

Almost surely, 2^5640190164 is an apocalyptic number.

5640190164 is a gapful number since it is divisible by the number (54) 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 5640190164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9422784000).

5640190164 is an abundant number, since it is smaller than the sum of its proper divisors (13205377836).

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

5640190164 is a wasteful number, since it uses less digits than its factorization.

5640190164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5640190164 is about 75101.1994844290. The cubic root of 5640190164 is about 1780.0460961004.

The spelling of 5640190164 in words is "five billion, six hundred forty million, one hundred ninety thousand, one hundred sixty-four".