10768443840 has 672 divisors, whose sum is σ = 47168409600. Its totient is φ = 2235340800.

The previous prime is 10768443827. The next prime is 10768443863. The reversal of 10768443840 is 4834486701.

10768443840 is a `hidden beast` number, since 107 + 68 + 443 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 10865745 + ... + 10866735.

Almost surely, 2^10768443840 is an apocalyptic number.

10768443840 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 10768443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23584204800).

10768443840 is an abundant number, since it is smaller than the sum of its proper divisors (36399965760).

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

10768443840 is a wasteful number, since it uses less digits than its factorization.

10768443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10768443840 in words is "ten billion, seven hundred sixty-eight million, four hundred forty-three thousand, eight hundred forty".