672864945606 has 384 divisors, whose sum is σ = 1862241878016. Its totient is φ = 171186462720.

The previous prime is 672864945601. The next prime is 672864945629. The reversal of 672864945606 is 606549468276.

672864945606 is a `hidden beast` number, since 6 + 7 + 2 + 8 + 64 + 9 + 4 + 560 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672864945601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 615612396 + ... + 615613488.

It is an arithmetic number, because the mean of its divisors is an integer number (4849588224).

Almost surely, 2^672864945606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672864945606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931120939008).

672864945606 is an abundant number, since it is smaller than the sum of its proper divisors (1189376932410).

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

672864945606 is a wasteful number, since it uses less digits than its factorization.

672864945606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 672864945606 in words is "six hundred seventy-two billion, eight hundred sixty-four million, nine hundred forty-five thousand, six hundred six".