10670972346 has 64 divisors (see below), whose sum is σ = 24500770560. Its totient is φ = 3440024640.

The previous prime is 10670972293. The next prime is 10670972357. The reversal of 10670972346 is 64327907601.

10670972346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10670972346² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317676 + ... + 349656.

It is an arithmetic number, because the mean of its divisors is an integer number (382824540).

Almost surely, 2^10670972346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10670972346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250385280).

10670972346 is an abundant number, since it is smaller than the sum of its proper divisors (13829798214).

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

10670972346 is a wasteful number, since it uses less digits than its factorization.

10670972346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32196 (or 32190 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10670972346 in words is "ten billion, six hundred seventy million, nine hundred seventy-two thousand, three hundred forty-six".