10067332704 has 288 divisors, whose sum is σ = 32871484800. Its totient is φ = 2666926080.

The previous prime is 10067332679. The next prime is 10067332729. The reversal of 10067332704 is 40723376001.

It is an interprime number because it is at equal distance from previous prime (10067332679) and next prime (10067332729).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3389332 + ... + 3392300.

It is an arithmetic number, because the mean of its divisors is an integer number (114137100).

Almost surely, 2^10067332704 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 10067332704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16435742400).

10067332704 is an abundant number, since it is smaller than the sum of its proper divisors (22804152096).

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

10067332704 is a wasteful number, since it uses less digits than its factorization.

10067332704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 10067332704 in words is "ten billion, sixty-seven million, three hundred thirty-two thousand, seven hundred four".