672742368 has 96 divisors (see below), whose sum is σ = 1977937920. Its totient is φ = 222445440.

The previous prime is 672742361. The next prime is 672742379. The reversal of 672742368 is 863247276.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672742361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106663 + ... + 112793.

It is an arithmetic number, because the mean of its divisors is an integer number (20603520).

Almost surely, 2^672742368 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 672742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988968960).

672742368 is an abundant number, since it is smaller than the sum of its proper divisors (1305195552).

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

672742368 is a wasteful number, since it uses less digits than its factorization.

672742368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277 (or 6263 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 672742368 is about 25937.2775749499. The cubic root of 672742368 is about 876.2262504357.

The spelling of 672742368 in words is "six hundred seventy-two million, seven hundred forty-two thousand, three hundred sixty-eight".