10674749440 has 60 divisors (see below), whose sum is σ = 25618813416. Its totient is φ = 4269867008.

The previous prime is 10674749419. The next prime is 10674749453. The reversal of 10674749440 is 4494747601.

It is a happy number.

It is a super-2 number, since 2×10674749440² (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 3 ways as a sum of consecutive naturals, for example, 16767 + ... + 147073.

Almost surely, 2^10674749440 is an apocalyptic number.

10674749440 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 10674749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12809406708).

10674749440 is an abundant number, since it is smaller than the sum of its proper divisors (14944063976).

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

10674749440 is an frugal number, since it uses more digits than its factorization.

10674749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130340 (or 130314 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 10674749440 in words is "ten billion, six hundred seventy-four million, seven hundred forty-nine thousand, four hundred forty".