10202667672 has 64 divisors (see below), whose sum is σ = 26432409600. Its totient is φ = 3278315520.

The previous prime is 10202667661. The next prime is 10202667697. The reversal of 10202667672 is 27676620201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10202667672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164529 + ... + 217887.

It is an arithmetic number, because the mean of its divisors is an integer number (413006400).

Almost surely, 2^10202667672 is an apocalyptic number.

10202667672 is a gapful number since it is divisible by the number (12) 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 10202667672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13216204800).

10202667672 is an abundant number, since it is smaller than the sum of its proper divisors (16229741928).

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

10202667672 is a wasteful number, since it uses less digits than its factorization.

10202667672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53656 (or 53652 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 10202667672 in words is "ten billion, two hundred two million, six hundred sixty-seven thousand, six hundred seventy-two".