10768343040 has 896 divisors, whose sum is σ = 47560504320. Its totient is φ = 2250768384.

The previous prime is 10768342987. The next prime is 10768343093. The reversal of 10768343040 is 4034386701.

10768343040 is a `hidden beast` number, since 107 + 6 + 83 + 430 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10768342987) and next prime (10768343093).

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 10768342986 and 10768343004.

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, 100638667 + ... + 100638773.

It is an arithmetic number, because the mean of its divisors is an integer number (53080920).

Almost surely, 2^10768343040 is an apocalyptic number.

10768343040 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 10768343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23780252160).

10768343040 is an abundant number, since it is smaller than the sum of its proper divisors (36792161280).

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

10768343040 is a wasteful number, since it uses less digits than its factorization.

10768343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10768343040 in words is "ten billion, seven hundred sixty-eight million, three hundred forty-three thousand, forty".