5598746400 has 288 divisors, whose sum is σ = 19722987648. Its totient is φ = 1371340800.

The previous prime is 5598746341. The next prime is 5598746443. The reversal of 5598746400 is 46478955.

It is a super-2 number, since 2×5598746400² = 62691922503025920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5598746400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9702912 + ... + 9703488.

It is an arithmetic number, because the mean of its divisors is an integer number (68482596).

Almost surely, 2^5598746400 is an apocalyptic number.

5598746400 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 5598746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9861493824).

5598746400 is an abundant number, since it is smaller than the sum of its proper divisors (14124241248).

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

5598746400 is a wasteful number, since it uses less digits than its factorization.

5598746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 5598746400 is about 74824.7712993498. The cubic root of 5598746400 is about 1775.6754844943.

The spelling of 5598746400 in words is "five billion, five hundred ninety-eight million, seven hundred forty-six thousand, four hundred".