10337972672 has 56 divisors (see below), whose sum is σ = 20823637296. Its totient is φ = 5091268608.

The previous prime is 10337972657. The next prime is 10337972719. The reversal of 10337972672 is 27627973301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6105458 + ... + 6107150.

It is an arithmetic number, because the mean of its divisors is an integer number (371850666).

Almost surely, 2^10337972672 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 10337972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10411818648).

10337972672 is an abundant number, since it is smaller than the sum of its proper divisors (10485664624).

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

10337972672 is a wasteful number, since it uses less digits than its factorization.

10337972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 47.

The spelling of 10337972672 in words is "ten billion, three hundred thirty-seven million, nine hundred seventy-two thousand, six hundred seventy-two".