672308578368 has 252 divisors, whose sum is σ = 2245125379692. Its totient is φ = 191792240640.

The previous prime is 672308578363. The next prime is 672308578379. The reversal of 672308578368 is 863875803276.

It is a happy number.

672308578368 is a `hidden beast` number, since 6 + 7 + 23 + 0 + 8 + 578 + 36 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 286130847744 + 386177730624 = 534912^2 + 621432^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (672308578363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18638046 + ... + 18674082.

Almost surely, 2^672308578368 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 672308578368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122562689846).

672308578368 is an abundant number, since it is smaller than the sum of its proper divisors (1572816801324).

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

672308578368 is a wasteful number, since it uses less digits than its factorization.

672308578368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36730 (or 36710 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 672308578368 in words is "six hundred seventy-two billion, three hundred eight million, five hundred seventy-eight thousand, three hundred sixty-eight".