107782648440 has 128 divisors (see below), whose sum is σ = 326715517440. Its totient is φ = 28443096576.

The previous prime is 107782648343. The next prime is 107782648459. The reversal of 107782648440 is 44846287701.

107782648440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28339579 + ... + 28343381.

It is an arithmetic number, because the mean of its divisors is an integer number (2552464980).

Almost surely, 2^107782648440 is an apocalyptic number.

107782648440 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 107782648440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163357758720).

107782648440 is an abundant number, since it is smaller than the sum of its proper divisors (218932869000).

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

107782648440 is a wasteful number, since it uses less digits than its factorization.

107782648440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6213 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 107782648440 in words is "one hundred seven billion, seven hundred eighty-two million, six hundred forty-eight thousand, four hundred forty".