5646402400 has 72 divisors (see below), whose sum is σ = 13883720760. Its totient is φ = 2242268160.

The previous prime is 5646402383. The next prime is 5646402401. The reversal of 5646402400 is 42046465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5646402401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85812 + ... + 136588.

It is an arithmetic number, because the mean of its divisors is an integer number (192829455).

Almost surely, 2^5646402400 is an apocalyptic number.

5646402400 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 5646402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941860380).

5646402400 is an abundant number, since it is smaller than the sum of its proper divisors (8237318360).

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

5646402400 is a wasteful number, since it uses less digits than its factorization.

5646402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50936 (or 50923 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 5646402400 is about 75142.5472019681. The cubic root of 5646402400 is about 1780.6993843011.

Adding to 5646402400 its reverse (42046465), we get a palindrome (5688448865).

The spelling of 5646402400 in words is "five billion, six hundred forty-six million, four hundred two thousand, four hundred".