5642102400 has 576 divisors, whose sum is σ = 21402692640. Its totient is φ = 1295360000.

The previous prime is 5642102399. The next prime is 5642102407. The reversal of 5642102400 is 42012465.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5642102407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55862350 + ... + 55862450.

Almost surely, 2^5642102400 is an apocalyptic number.

5642102400 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 5642102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701346320).

5642102400 is an abundant number, since it is smaller than the sum of its proper divisors (15760590240).

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

5642102400 is a wasteful number, since it uses less digits than its factorization.

5642102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5642102400 is about 75113.9294671767. The cubic root of 5642102400 is about 1780.2472408325.

Adding to 5642102400 its reverse (42012465), we get a palindrome (5684114865).

The spelling of 5642102400 in words is "five billion, six hundred forty-two million, one hundred two thousand, four hundred".