5743742400 has 1008 divisors, whose sum is σ = 24763415040. Its totient is φ = 1293926400.

The previous prime is 5743742393. The next prime is 5743742401. The reversal of 5743742400 is 42473475.

5743742400 is a `hidden beast` number, since 574 + 3 + 7 + 42 + 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 not an unprimeable number, because it can be changed into a prime (5743742401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72705561 + ... + 72705639.

It is an arithmetic number, because the mean of its divisors is an integer number (24566880).

Almost surely, 2^5743742400 is an apocalyptic number.

5743742400 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 5743742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12381707520).

5743742400 is an abundant number, since it is smaller than the sum of its proper divisors (19019672640).

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

5743742400 is a wasteful number, since it uses less digits than its factorization.

5743742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 5743742400 is about 75787.4818159305. The cubic root of 5743742400 is about 1790.8738074265.

The spelling of 5743742400 in words is "five billion, seven hundred forty-three million, seven hundred forty-two thousand, four hundred".