10008693376 has 64 divisors (see below), whose sum is σ = 21866319360. Its totient is φ = 4525465600.

The previous prime is 10008693347. The next prime is 10008693377. The reversal of 10008693376 is 67339680001.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10008693377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250320 + ... + 287536.

It is an arithmetic number, because the mean of its divisors is an integer number (341661240).

Almost surely, 2^10008693376 is an apocalyptic number.

10008693376 is a gapful number since it is divisible by the number (16) 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 10008693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10933159680).

10008693376 is an abundant number, since it is smaller than the sum of its proper divisors (11857625984).

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

10008693376 is a wasteful number, since it uses less digits than its factorization.

10008693376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37433 (or 37421 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 10008693376 in words is "ten billion, eight million, six hundred ninety-three thousand, three hundred seventy-six".