5740070400 has 480 divisors, whose sum is σ = 22331026080. Its totient is φ = 1439170560.

The previous prime is 5740070389. The next prime is 5740070423. The reversal of 5740070400 is 40700475.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5874712 + ... + 5875688.

It is an arithmetic number, because the mean of its divisors is an integer number (46522971).

Almost surely, 2^5740070400 is an apocalyptic number.

5740070400 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 5740070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165513040).

5740070400 is an abundant number, since it is smaller than the sum of its proper divisors (16590955680).

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

5740070400 is a wasteful number, since it uses less digits than its factorization.

5740070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 5740070400 is about 75763.2523061147. The cubic root of 5740070400 is about 1790.4920882131.

Adding to 5740070400 its reverse (40700475), we get a palindrome (5780770875).

The spelling of 5740070400 in words is "five billion, seven hundred forty million, seventy thousand, four hundred".