10670728320 has 512 divisors, whose sum is σ = 45474048000. Its totient is φ = 2310156288.

The previous prime is 10670728279. The next prime is 10670728349. The reversal of 10670728320 is 2382707601.

It is a super-2 number, since 2×10670728320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2295919 + ... + 2300561.

It is an arithmetic number, because the mean of its divisors is an integer number (88816500).

Almost surely, 2^10670728320 is an apocalyptic number.

10670728320 is a gapful number since it is divisible by the number (10) 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 10670728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22737024000).

10670728320 is an abundant number, since it is smaller than the sum of its proper divisors (34803319680).

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

10670728320 is a wasteful number, since it uses less digits than its factorization.

10670728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10670728320 in words is "ten billion, six hundred seventy million, seven hundred twenty-eight thousand, three hundred twenty".