675662400 has 252 divisors, whose sum is σ = 2744939392. Its totient is φ = 154414080.

The previous prime is 675662381. The next prime is 675662417. The reversal of 675662400 is 4266576.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97449 + ... + 104151.

Almost surely, 2^675662400 is an apocalyptic number.

675662400 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 675662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372469696).

675662400 is an abundant number, since it is smaller than the sum of its proper divisors (2069276992).

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

675662400 is a wasteful number, since it uses less digits than its factorization.

675662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 675662400 is about 25993.5068815272. The cubic root of 675662400 is about 877.4921712599.

The spelling of 675662400 in words is "six hundred seventy-five million, six hundred sixty-two thousand, four hundred".