675153600 has 336 divisors, whose sum is σ = 2547396480. Its totient is φ = 154828800.

The previous prime is 675153599. The next prime is 675153617. The reversal of 675153600 is 6351576.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002864 + ... + 1003536.

Almost surely, 2^675153600 is an apocalyptic number.

675153600 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 675153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273698240).

675153600 is an abundant number, since it is smaller than the sum of its proper divisors (1872242880).

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

675153600 is a wasteful number, since it uses less digits than its factorization.

675153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 675153600 is about 25983.7179787651. The cubic root of 675153600 is about 877.2718540656.

The spelling of 675153600 in words is "six hundred seventy-five million, one hundred fifty-three thousand, six hundred".