5633242718400 has 2016 divisors, whose sum is σ = 23567066944512. Its totient is φ = 1311444172800.

The previous prime is 5633242718347. The next prime is 5633242718447. The reversal of 5633242718400 is 48172423365.

5633242718400 is a `hidden beast` number, since 5 + 6 + 332 + 4 + 271 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15349435017 + ... + 15349435383.

Almost surely, 2^{5633242718400} is an apocalyptic number.

5633242718400 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 5633242718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11783533472256).

5633242718400 is an abundant number, since it is smaller than the sum of its proper divisors (17933824226112).

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

5633242718400 is a wasteful number, since it uses less digits than its factorization.

5633242718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5633242718400 in words is "five trillion, six hundred thirty-three billion, two hundred forty-two million, seven hundred eighteen thousand, four hundred".