5790646400 has 384 divisors, whose sum is σ = 18140267520. Its totient is φ = 1774080000.

The previous prime is 5790646373. The next prime is 5790646481. The reversal of 5790646400 is 46460975.

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, 17494235 + ... + 17494565.

It is an arithmetic number, because the mean of its divisors is an integer number (47240280).

Almost surely, 2^5790646400 is an apocalyptic number.

5790646400 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 5790646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9070133760).

5790646400 is an abundant number, since it is smaller than the sum of its proper divisors (12349621120).

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

5790646400 is a wasteful number, since it uses less digits than its factorization.

5790646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 5790646400 is about 76096.2968875621. The cubic root of 5790646400 is about 1795.7354186860.

The spelling of 5790646400 in words is "five billion, seven hundred ninety million, six hundred forty-six thousand, four hundred".