675072921600 has 2340 divisors, whose sum is σ = 3194358681888. Its totient is φ = 139345920000.

The previous prime is 675072921599. The next prime is 675072921619. The reversal of 675072921600 is 6129270576.

675072921600 is a `hidden beast` number, since 67 + 507 + 2 + 9 + 21 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4470681525 + ... + 4470681675.

Almost surely, 2^675072921600 is an apocalyptic number.

675072921600 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 675072921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597179340944).

675072921600 is an abundant number, since it is smaller than the sum of its proper divisors (2519285760288).

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

675072921600 is a wasteful number, since it uses less digits than its factorization.

675072921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 675072921600 in words is "six hundred seventy-five billion, seventy-two million, nine hundred twenty-one thousand, six hundred".