10670773248 has 352 divisors, whose sum is σ = 34028017920. Its totient is φ = 3291217920.

The previous prime is 10670773193. The next prime is 10670773301. The reversal of 10670773248 is 84237707601.

It is a super-2 number, since 2×10670773248² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 34311013 + ... + 34311323.

Almost surely, 2^10670773248 is an apocalyptic number.

10670773248 is a gapful number since it is divisible by the number (18) 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 10670773248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014008960).

10670773248 is an abundant number, since it is smaller than the sum of its proper divisors (23357244672).

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

10670773248 is a wasteful number, since it uses less digits than its factorization.

10670773248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10670773248 in words is "ten billion, six hundred seventy million, seven hundred seventy-three thousand, two hundred forty-eight".