10034764704 has 144 divisors (see below), whose sum is σ = 30224009088. Its totient is φ = 3273633792.

The previous prime is 10034764681. The next prime is 10034764721. The reversal of 10034764704 is 40746743001.

It is a happy number.

10034764704 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 7 + 647 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351744 + ... + 379200.

It is an arithmetic number, because the mean of its divisors is an integer number (209888952).

Almost surely, 2^10034764704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034764704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112004544).

10034764704 is an abundant number, since it is smaller than the sum of its proper divisors (20189244384).

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

10034764704 is an equidigital number, since it uses as much as digits as its factorization.

10034764704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27529 (or 27509 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 10034764704 in words is "ten billion, thirty-four million, seven hundred sixty-four thousand, seven hundred four".