675253324800 has 330 divisors, whose sum is σ = 2500391348268. Its totient is φ = 180067000320.

The previous prime is 675253324777. The next prime is 675253324829. The reversal of 675253324800 is 8423352576.

675253324800 is a `hidden beast` number, since 6 + 75 + 2 + 533 + 2 + 48 + 0 + 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 29 ways as a sum of consecutive naturals, for example, 1910779 + ... + 2236421.

Almost surely, 2^675253324800 is an apocalyptic number.

675253324800 is a gapful number since it is divisible by the number (60) 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 675253324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250195674134).

675253324800 is an abundant number, since it is smaller than the sum of its proper divisors (1825138023468).

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

675253324800 is a wasteful number, since it uses less digits than its factorization.

675253324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325685 (or 325653 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 675253324800 in words is "six hundred seventy-five billion, two hundred fifty-three million, three hundred twenty-four thousand, eight hundred".