6533749454400 has 1701 divisors, whose sum is σ = 28857653414499. Its totient is φ = 1397727313920.

The previous prime is 6533749454387. The next prime is 6533749454437. The reversal of 6533749454400 is 44549473356.

The square root of 6533749454400 is 2556120.

It is a perfect power (a square), and thus also a powerful number.

6533749454400 is a `hidden beast` number, since 6 + 5 + 3 + 3 + 7 + 4 + 94 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 152830956096 + 6380918498304 = 390936^2 + 2526048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 36501393511 + ... + 36501393689.

Almost surely, 2^{6533749454400} is an apocalyptic number.

6533749454400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6533749454400 is the 2556120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6533749454400

6533749454400 is an abundant number, since it is smaller than the sum of its proper divisors (22323903960099).

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

6533749454400 is a wasteful number, since it uses less digits than its factorization.

6533749454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 6533749454400 in words is "six trillion, five hundred thirty-three billion, seven hundred forty-nine million, four hundred fifty-four thousand, four hundred".