10393834680 has 256 divisors, whose sum is σ = 36871718400. Its totient is φ = 2595317760.

The previous prime is 10393834669. The next prime is 10393834699. The reversal of 10393834680 is 8643839301.

10393834680 is a `hidden beast` number, since 103 + 9 + 3 + 83 + 468 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3872619 + ... + 3875301.

It is an arithmetic number, because the mean of its divisors is an integer number (144030150).

Almost surely, 2^10393834680 is an apocalyptic number.

10393834680 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 10393834680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18435859200).

10393834680 is an abundant number, since it is smaller than the sum of its proper divisors (26477883720).

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

10393834680 is a wasteful number, since it uses less digits than its factorization.

10393834680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10393834680 in words is "ten billion, three hundred ninety-three million, eight hundred thirty-four thousand, six hundred eighty".