5747414400 has 1536 divisors, whose sum is σ = 28048204800. Its totient is φ = 1114767360.

The previous prime is 5747414369. The next prime is 5747414419. The reversal of 5747414400 is 44147475.

It is a happy number.

5747414400 is a `hidden beast` number, since 574 + 7 + 41 + 4 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133660779 + ... + 133660821.

It is an arithmetic number, because the mean of its divisors is an integer number (18260550).

Almost surely, 2^5747414400 is an apocalyptic number.

5747414400 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 5747414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14024102400).

5747414400 is an abundant number, since it is smaller than the sum of its proper divisors (22300790400).

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

5747414400 is a wasteful number, since it uses less digits than its factorization.

5747414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 5747414400 is about 75811.7035819668. The cubic root of 5747414400 is about 1791.2553639848.

The spelling of 5747414400 in words is "five billion, seven hundred forty-seven million, four hundred fourteen thousand, four hundred".