672710400 has 432 divisors, whose sum is σ = 2623269600. Its totient is φ = 168099840.

The previous prime is 672710393. The next prime is 672710429. The reversal of 672710400 is 4017276.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2937486 + ... + 2937714.

Almost surely, 2^672710400 is an apocalyptic number.

672710400 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 672710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311634800).

672710400 is an abundant number, since it is smaller than the sum of its proper divisors (1950559200).

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

672710400 is a wasteful number, since it uses less digits than its factorization.

672710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 672710400 is about 25936.6613117417. The cubic root of 672710400 is about 876.2123711035.

Adding to 672710400 its reverse (4017276), we get a palindrome (676727676).

The spelling of 672710400 in words is "six hundred seventy-two million, seven hundred ten thousand, four hundred".