10674805440 has 224 divisors, whose sum is σ = 37278259200. Its totient is φ = 2571595776.

The previous prime is 10674805439. The next prime is 10674805447. The reversal of 10674805440 is 4450847601.

It is a super-2 number, since 2×10674805440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10674805447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577461 + ... + 595659.

It is an arithmetic number, because the mean of its divisors is an integer number (166420800).

Almost surely, 2^10674805440 is an apocalyptic number.

10674805440 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 10674805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639129600).

10674805440 is an abundant number, since it is smaller than the sum of its proper divisors (26603453760).

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

10674805440 is a wasteful number, since it uses less digits than its factorization.

10674805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18279 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 10674805440 in words is "ten billion, six hundred seventy-four million, eight hundred five thousand, four hundred forty".