672633000 has 192 divisors, whose sum is σ = 2448810000. Its totient is φ = 165542400.

The previous prime is 672632969. The next prime is 672633001. The reversal of 672633000 is 336276.

It can be written as a sum of positive squares in 8 ways, for example, as 76003524 + 596629476 = 8718^2 + 24426^2 .

It is not an unprimeable number, because it can be changed into a prime (672633001) by changing a digit.

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, 114126 + ... + 119874.

Almost surely, 2^672633000 is an apocalyptic number.

672633000 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 672633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224405000).

672633000 is an abundant number, since it is smaller than the sum of its proper divisors (1776177000).

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

672633000 is a wasteful number, since it uses less digits than its factorization.

672633000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 672633000 is about 25935.1691723806. The cubic root of 672633000 is about 876.1787650432.

Adding to 672633000 its reverse (336276), we get a palindrome (672969276).

The spelling of 672633000 in words is "six hundred seventy-two million, six hundred thirty-three thousand".