672566417424 has 400 divisors, whose sum is σ = 2253916484160. Its totient is φ = 193071859200.

The previous prime is 672566417423. The next prime is 672566417437. The reversal of 672566417424 is 424714665276.

672566417424 is a `hidden beast` number, since 6 + 7 + 2 + 566 + 4 + 1 + 74 + 2 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (672566417423) 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 79 ways as a sum of consecutive naturals, for example, 32764284 + ... + 32784804.

Almost surely, 2^672566417424 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 672566417424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126958242080).

672566417424 is an abundant number, since it is smaller than the sum of its proper divisors (1581350066736).

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

672566417424 is a wasteful number, since it uses less digits than its factorization.

672566417424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20593 (or 20556 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 672566417424 in words is "six hundred seventy-two billion, five hundred sixty-six million, four hundred seventeen thousand, four hundred twenty-four".