10730677440 has 896 divisors, whose sum is σ = 44242329600. Its totient is φ = 2146959360.

The previous prime is 10730677403. The next prime is 10730677459. The reversal of 10730677440 is 4477603701.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135831321 + ... + 135831399.

It is an arithmetic number, because the mean of its divisors is an integer number (49377600).

Almost surely, 2^10730677440 is an apocalyptic number.

10730677440 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 10730677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22121164800).

10730677440 is an abundant number, since it is smaller than the sum of its proper divisors (33511652160).

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

10730677440 is a wasteful number, since it uses less digits than its factorization.

10730677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 10730677440 in words is "ten billion, seven hundred thirty million, six hundred seventy-seven thousand, four hundred forty".