107350064640 has 800 divisors, whose sum is σ = 473306581440. Its totient is φ = 22645702656.

The previous prime is 107350064621. The next prime is 107350064671. The reversal of 107350064640 is 46460053701.

It is a happy number.

107350064640 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 5 + 0 + 0 + 6 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107350064595 and 107350064604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18866916 + ... + 18872604.

Almost surely, 2^107350064640 is an apocalyptic number.

107350064640 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 107350064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236653290720).

107350064640 is an abundant number, since it is smaller than the sum of its proper divisors (365956516800).

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

107350064640 is an equidigital number, since it uses as much as digits as its factorization.

107350064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 107350064640 in words is "one hundred seven billion, three hundred fifty million, sixty-four thousand, six hundred forty".