107609750640 has 720 divisors, whose sum is σ = 439153329888. Its totient is φ = 24416888832.

The previous prime is 107609750639. The next prime is 107609750659. The reversal of 107609750640 is 46057906701.

It is a happy number.

107609750640 is a `hidden beast` number, since 10 + 7 + 6 + 0 + 97 + 506 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 164792554 + ... + 164793206.

Almost surely, 2^107609750640 is an apocalyptic number.

107609750640 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 107609750640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219576664944).

107609750640 is an abundant number, since it is smaller than the sum of its proper divisors (331543579248).

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

107609750640 is a wasteful number, since it uses less digits than its factorization.

107609750640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 107609750640 in words is "one hundred seven billion, six hundred nine million, seven hundred fifty thousand, six hundred forty".