673587924572160 has 1920 divisors, whose sum is σ = 2786243795375040. Its totient is φ = 154169310707712.

The previous prime is 673587924572153. The next prime is 673587924572161. The reversal of 673587924572160 is 61275429785376.

673587924572160 is a `hidden beast` number, since 6 + 7 + 3 + 5 + 8 + 7 + 9 + 2 + 457 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673587924572161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15214395784 + ... + 15214440056.

It is a 1-persistent number, because it is pandigital, but 2⋅673587924572160 = 1347175849144320 is not.

Almost surely, 2^{673587924572160} is an apocalyptic number.

673587924572160 is a gapful number since it is divisible by the number (60) 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 673587924572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393121897687520).

673587924572160 is an abundant number, since it is smaller than the sum of its proper divisors (2112655870802880).

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

673587924572160 is a wasteful number, since it uses less digits than its factorization.

673587924572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44425 (or 44396 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 673587924572160 in words is "six hundred seventy-three trillion, five hundred eighty-seven billion, nine hundred twenty-four million, five hundred seventy-two thousand, one hundred sixty".