672776064 has 128 divisors (see below), whose sum is σ = 2023639200. Its totient is φ = 219967488.

The previous prime is 672776063. The next prime is 672776077. The reversal of 672776064 is 460677276.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672776063) 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, 181332 + ... + 185004.

Almost surely, 2^672776064 is an apocalyptic number.

672776064 is a gapful number since it is divisible by the number (64) 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 672776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011819600).

672776064 is an abundant number, since it is smaller than the sum of its proper divisors (1350863136).

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

672776064 is a wasteful number, since it uses less digits than its factorization.

672776064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 672776064 is about 25937.9271338324. The cubic root of 672776064 is about 876.2408795261.

The spelling of 672776064 in words is "six hundred seventy-two million, seven hundred seventy-six thousand, sixty-four".