5646230790400 has 432 divisors, whose sum is σ = 15169706576640. Its totient is φ = 2073660825600.

The previous prime is 5646230790307. The next prime is 5646230790467. The reversal of 5646230790400 is 40970326465.

It is a super-2 number, since 2×5646230790400² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

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, 684968679 + ... + 684976921.

It is an arithmetic number, because the mean of its divisors is an integer number (35115061520).

Almost surely, 2^{5646230790400} is an apocalyptic number.

5646230790400 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 5646230790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584853288320).

5646230790400 is an abundant number, since it is smaller than the sum of its proper divisors (9523475786240).

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

5646230790400 is a wasteful number, since it uses less digits than its factorization.

5646230790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 5646230790400 in words is "five trillion, six hundred forty-six billion, two hundred thirty million, seven hundred ninety thousand, four hundred".