10004727096 has 768 divisors, whose sum is σ = 37920960000. Its totient is φ = 2414168064.

The previous prime is 10004727067. The next prime is 10004727101. The reversal of 10004727096 is 69072740001.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10004727096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112412620 + ... + 112412708.

It is an arithmetic number, because the mean of its divisors is an integer number (49376250).

Almost surely, 2^10004727096 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 10004727096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480000).

10004727096 is an abundant number, since it is smaller than the sum of its proper divisors (27916232904).

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

10004727096 is a wasteful number, since it uses less digits than its factorization.

10004727096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10004727096 in words is "ten billion, four million, seven hundred twenty-seven thousand, ninety-six".