10672727904 has 144 divisors (see below), whose sum is σ = 31723840512. Its totient is φ = 3397135104.

The previous prime is 10672727903. The next prime is 10672727909. The reversal of 10672727904 is 40972727601.

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

It is a super-2 number, since 2×10672727904² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10672727904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672727903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5715579 + ... + 5717445.

It is an arithmetic number, because the mean of its divisors is an integer number (220304448).

Almost surely, 2^10672727904 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 10672727904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861920256).

10672727904 is an abundant number, since it is smaller than the sum of its proper divisors (21051112608).

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

10672727904 is a wasteful number, since it uses less digits than its factorization.

10672727904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 10672727904 in words is "ten billion, six hundred seventy-two million, seven hundred twenty-seven thousand, nine hundred four".