10167346656 has 72 divisors (see below), whose sum is σ = 28976220000. Its totient is φ = 3381751296.

The previous prime is 10167346643. The next prime is 10167346687. The reversal of 10167346656 is 65664376101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95220 + ... + 171468.

It is an arithmetic number, because the mean of its divisors is an integer number (402447500).

Almost surely, 2^10167346656 is an apocalyptic number.

10167346656 is a gapful number since it is divisible by the number (16) 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 10167346656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488110000).

10167346656 is an abundant number, since it is smaller than the sum of its proper divisors (18808873344).

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

10167346656 is a wasteful number, since it uses less digits than its factorization.

10167346656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76728 (or 76717 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10167346656 in words is "ten billion, one hundred sixty-seven million, three hundred forty-six thousand, six hundred fifty-six".