537868800 has 720 divisors, whose sum is σ = 2374669440. Its totient is φ = 113541120.

The previous prime is 537868789. The next prime is 537868883. The reversal of 537868800 is 8868735.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 18547186 + ... + 18547214.

It is an arithmetic number, because the mean of its divisors is an integer number (3298152).

Almost surely, 2^537868800 is an apocalyptic number.

537868800 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 537868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187334720).

537868800 is an abundant number, since it is smaller than the sum of its proper divisors (1836800640).

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

537868800 is a wasteful number, since it uses less digits than its factorization.

537868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 537868800 is about 23191.9986202138. The cubic root of 537868800 is about 813.2525823858.

The spelling of 537868800 in words is "five hundred thirty-seven million, eight hundred sixty-eight thousand, eight hundred".