5624893440 has 156 divisors (see below), whose sum is σ = 19497889164. Its totient is φ = 1499922432.

The previous prime is 5624893429. The next prime is 5624893453. The reversal of 5624893440 is 443984265.

5624893440 is a `hidden beast` number, since 562 + 4 + 89 + 3 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 632623104 + 4992270336 = 25152^2 + 70656^2 .

It is a super-2 number, since 2×5624893440² = 63278852422710067200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169062 + ... + 199578.

It is an arithmetic number, because the mean of its divisors is an integer number (124986469).

Almost surely, 2^5624893440 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 5624893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9748944582).

5624893440 is an abundant number, since it is smaller than the sum of its proper divisors (13872995724).

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

5624893440 is a wasteful number, since it uses less digits than its factorization.

5624893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30552 (or 30527 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 5624893440 is about 74999.2895966355. The cubic root of 5624893440 is about 1778.4354218763.

The spelling of 5624893440 in words is "five billion, six hundred twenty-four million, eight hundred ninety-three thousand, four hundred forty".