5740358400 has 648 divisors, whose sum is σ = 24514264320. Its totient is φ = 1253007360.

The previous prime is 5740358389. The next prime is 5740358417. The reversal of 5740358400 is 48530475.

5740358400 is a `hidden beast` number, since 5 + 74 + 0 + 3 + 584 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9273291 + ... + 9273909.

Almost surely, 2^5740358400 is an apocalyptic number.

5740358400 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 5740358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257132160).

5740358400 is an abundant number, since it is smaller than the sum of its proper divisors (18773905920).

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

5740358400 is a wasteful number, since it uses less digits than its factorization.

5740358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5740358400 is about 75765.1529398575. The cubic root of 5740358400 is about 1790.5220328573.

Adding to 5740358400 its reverse (48530475), we get a palindrome (5788888875).

The spelling of 5740358400 in words is "five billion, seven hundred forty million, three hundred fifty-eight thousand, four hundred".