672543648 has 240 divisors, whose sum is σ = 2289095424. Its totient is φ = 189734400.

The previous prime is 672543631. The next prime is 672543653. The reversal of 672543648 is 846345276.

672543648 is a `hidden beast` number, since 67 + 2 + 543 + 6 + 48 = 666.

It is a super-3 number, since 3×672543648³ (a number of 27 digits) contains 333 as substring.

Its product of digits (967680) is a multiple of the sum of its prime divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 1832361 + ... + 1832727.

Almost surely, 2^672543648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672543648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144547712).

672543648 is an abundant number, since it is smaller than the sum of its proper divisors (1616551776).

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

672543648 is a wasteful number, since it uses less digits than its factorization.

672543648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 672543648 is about 25933.4465121781. The cubic root of 672543648 is about 876.1399663760.

The spelling of 672543648 in words is "six hundred seventy-two million, five hundred forty-three thousand, six hundred forty-eight".