10164873600 has 672 divisors, whose sum is σ = 43400663400. Its totient is φ = 2323399680.

The previous prime is 10164873559. The next prime is 10164873601. The reversal of 10164873600 is 637846101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10164873600 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 48 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164873601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1452124797 + ... + 1452124803.

Almost surely, 2^10164873600 is an apocalyptic number.

10164873600 is a gapful number since it is divisible by the number (10) 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 10164873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700331700).

10164873600 is an abundant number, since it is smaller than the sum of its proper divisors (33235789800).

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

10164873600 is an frugal number, since it uses more digits than its factorization.

10164873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10164873600 in words is "ten billion, one hundred sixty-four million, eight hundred seventy-three thousand, six hundred".