5624367840 has 960 divisors, whose sum is σ = 25818186240. Its totient is φ = 1119744000.

The previous prime is 5624367809. The next prime is 5624367841. The reversal of 5624367840 is 487634265.

5624367840 is a `hidden beast` number, since 562 + 4 + 3 + 6 + 7 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5624367841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22407715 + ... + 22407965.

It is an arithmetic number, because the mean of its divisors is an integer number (26893944).

Almost surely, 2^5624367840 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 5624367840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12909093120).

5624367840 is an abundant number, since it is smaller than the sum of its proper divisors (20193818400).

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

5624367840 is a wasteful number, since it uses less digits than its factorization.

5624367840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5624367840 is about 74995.7854815856. The cubic root of 5624367840 is about 1778.3800267662.

The spelling of 5624367840 in words is "five billion, six hundred twenty-four million, three hundred sixty-seven thousand, eight hundred forty".