5640162840 has 320 divisors, whose sum is σ = 20527214400. Its totient is φ = 1380768768.

The previous prime is 5640162809. The next prime is 5640162887. The reversal of 5640162840 is 482610465.

5640162840 is a `hidden beast` number, since 5 + 640 + 1 + 6 + 2 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×5640162840² = 63622873723433731200, which contains 22 as substring.

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 = 5640162795 and 5640162804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15120894 + ... + 15121266.

It is an arithmetic number, because the mean of its divisors is an integer number (64147545).

Almost surely, 2^5640162840 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 5640162840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10263607200).

5640162840 is an abundant number, since it is smaller than the sum of its proper divisors (14887051560).

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

5640162840 is a wasteful number, since it uses less digits than its factorization.

5640162840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5640162840 is about 75101.0175696708. The cubic root of 5640162840 is about 1780.0432216076.

The spelling of 5640162840 in words is "five billion, six hundred forty million, one hundred sixty-two thousand, eight hundred forty".