672566400 has 432 divisors, whose sum is σ = 2651542530. Its totient is φ = 162201600.

The previous prime is 672566357. The next prime is 672566417. The reversal of 672566400 is 4665276.

672566400 is a `hidden beast` number, since 6 + 7 + 2 + 5 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 413227584 + 259338816 = 20328^2 + 16104^2 .

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 53 ways as a sum of consecutive naturals, for example, 3484704 + ... + 3484896.

Almost surely, 2^672566400 is an apocalyptic number.

672566400 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 672566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325771265).

672566400 is an abundant number, since it is smaller than the sum of its proper divisors (1978976130).

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

672566400 is a wasteful number, since it uses less digits than its factorization.

672566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

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

The square root of 672566400 is about 25933.8851697928. The cubic root of 672566400 is about 876.1498461371.

The spelling of 672566400 in words is "six hundred seventy-two million, five hundred sixty-six thousand, four hundred".