5623654400 has 576 divisors, whose sum is σ = 18426320640. Its totient is φ = 1651507200.

The previous prime is 5623654397. The next prime is 5623654483. The reversal of 5623654400 is 44563265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79206365 + ... + 79206435.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^5623654400 is an apocalyptic number.

5623654400 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 5623654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213160320).

5623654400 is an abundant number, since it is smaller than the sum of its proper divisors (12802666240).

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

5623654400 is a wasteful number, since it uses less digits than its factorization.

5623654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 5623654400 is about 74991.0287967834. The cubic root of 5623654400 is about 1778.3048289169.

The spelling of 5623654400 in words is "five billion, six hundred twenty-three million, six hundred fifty-four thousand, four hundred".