675729600 has 756 divisors, whose sum is σ = 2956812984. Its totient is φ = 134184960.

The previous prime is 675729577. The next prime is 675729619. The reversal of 675729600 is 6927576.

It is a happy number.

It is a super-2 number, since 2×675729600² = 913220984632320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 39748792 + ... + 39748808.

Almost surely, 2^675729600 is an apocalyptic number.

675729600 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 675729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478406492).

675729600 is an abundant number, since it is smaller than the sum of its proper divisors (2281083384).

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

675729600 is a wasteful number, since it uses less digits than its factorization.

675729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 675729600 is about 25994.7994798960. The cubic root of 675729600 is about 877.5212614876.

The spelling of 675729600 in words is "six hundred seventy-five million, seven hundred twenty-nine thousand, six hundred".