672428064672 has 432 divisors, whose sum is σ = 2470474702080. Its totient is φ = 177341778432.

The previous prime is 672428064613. The next prime is 672428064689. The reversal of 672428064672 is 276460824276.

672428064672 is a `hidden beast` number, since 67 + 2 + 42 + 80 + 6 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7107793 + ... + 7201775.

It is an arithmetic number, because the mean of its divisors is an integer number (5718691440).

Almost surely, 2^672428064672 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 672428064672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235237351040).

672428064672 is an abundant number, since it is smaller than the sum of its proper divisors (1798046637408).

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

672428064672 is a wasteful number, since it uses less digits than its factorization.

672428064672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94042 (or 94008 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 672428064672 in words is "six hundred seventy-two billion, four hundred twenty-eight million, sixty-four thousand, six hundred seventy-two".