10350768064 has 112 divisors (see below), whose sum is σ = 26095691776. Its totient is φ = 3962649600.

The previous prime is 10350768059. The next prime is 10350768079. The reversal of 10350768064 is 46086705301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151879 + ... + 209209.

It is an arithmetic number, because the mean of its divisors is an integer number (232997248).

Almost surely, 2^10350768064 is an apocalyptic number.

10350768064 is a gapful number since it is divisible by the number (14) 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 10350768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13047845888).

10350768064 is an abundant number, since it is smaller than the sum of its proper divisors (15744923712).

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

10350768064 is a wasteful number, since it uses less digits than its factorization.

10350768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57394 (or 57384 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 10350768064 in words is "ten billion, three hundred fifty million, seven hundred sixty-eight thousand, sixty-four".