5646254400 has 126 divisors (see below), whose sum is σ = 20068172462. Its totient is φ = 1505664000.

The previous prime is 5646254399. The next prime is 5646254401. The reversal of 5646254400 is 44526465.

5646254400 is a `hidden beast` number, since 5 + 646 + 2 + 5 + 4 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5646254399) and next prime (5646254401).

It can be written as a sum of positive squares in 3 ways, for example, as 1903751424 + 3742502976 = 43632^2 + 61176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5646254401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 181651 + ... + 210450.

Almost surely, 2^5646254400 is an apocalyptic number.

5646254400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5646254400 is an abundant number, since it is smaller than the sum of its proper divisors (14421918062).

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

5646254400 is a wasteful number, since it uses less digits than its factorization.

5646254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392129 (or 392111 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5646254400 is about 75141.5624005783. The cubic root of 5646254400 is about 1780.6838259690.

The spelling of 5646254400 in words is "five billion, six hundred forty-six million, two hundred fifty-four thousand, four hundred".