10076830848 has 192 divisors, whose sum is σ = 33264990720. Its totient is φ = 2868203520.

The previous prime is 10076830811. The next prime is 10076830853. The reversal of 10076830848 is 84803867001.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2263761 + ... + 2268207.

It is an arithmetic number, because the mean of its divisors is an integer number (173255160).

Almost surely, 2^10076830848 is an apocalyptic number.

10076830848 is a gapful number since it is divisible by the number (18) 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 10076830848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632495360).

10076830848 is an abundant number, since it is smaller than the sum of its proper divisors (23188159872).

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

10076830848 is a wasteful number, since it uses less digits than its factorization.

10076830848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10076830848 in words is "ten billion, seventy-six million, eight hundred thirty thousand, eight hundred forty-eight".