10008673200 has 240 divisors, whose sum is σ = 35721523200. Its totient is φ = 2661638400.

The previous prime is 10008673159. The next prime is 10008673201. The reversal of 10008673200 is 237680001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10008673201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4740145 + ... + 4742255.

It is an arithmetic number, because the mean of its divisors is an integer number (148839680).

Almost surely, 2^10008673200 is an apocalyptic number.

10008673200 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 10008673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860761600).

10008673200 is an abundant number, since it is smaller than the sum of its proper divisors (25712850000).

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

10008673200 is a wasteful number, since it uses less digits than its factorization.

10008673200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10008673200 in words is "ten billion, eight million, six hundred seventy-three thousand, two hundred".