10039776768 has 480 divisors, whose sum is σ = 36179827200. Its totient is φ = 2692251648.

The previous prime is 10039776767. The next prime is 10039776787. The reversal of 10039776768 is 86767793001.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10039776763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27965773 + ... + 27966131.

It is an arithmetic number, because the mean of its divisors is an integer number (75374640).

Almost surely, 2^10039776768 is an apocalyptic number.

10039776768 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 10039776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18089913600).

10039776768 is an abundant number, since it is smaller than the sum of its proper divisors (26140050432).

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

10039776768 is an equidigital number, since it uses as much as digits as its factorization.

10039776768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 10039776768 in words is "ten billion, thirty-nine million, seven hundred seventy-six thousand, seven hundred sixty-eight".