10084372704 has 144 divisors (see below), whose sum is σ = 32808222720. Its totient is φ = 2878260480.

The previous prime is 10084372663. The next prime is 10084372709. The reversal of 10084372704 is 40727348001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (10084372709) 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 23 ways as a sum of consecutive naturals, for example, 2576509 + ... + 2580419.

It is an arithmetic number, because the mean of its divisors is an integer number (227834880).

Almost surely, 2^10084372704 is an apocalyptic number.

10084372704 is a gapful number since it is divisible by the number (14) 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 10084372704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404111360).

10084372704 is an abundant number, since it is smaller than the sum of its proper divisors (22723850016).

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

10084372704 is a wasteful number, since it uses less digits than its factorization.

10084372704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10084372704 in words is "ten billion, eighty-four million, three hundred seventy-two thousand, seven hundred four".