107910260640 has 480 divisors, whose sum is σ = 468723024000. Its totient is φ = 22767630336.

The previous prime is 107910260639. The next prime is 107910260669. The reversal of 107910260640 is 46062019701.

107910260640 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 1 + 0 + 2 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 107910260595 and 107910260604.

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, 1133611 + ... + 1225109.

It is an arithmetic number, because the mean of its divisors is an integer number (976506300).

Almost surely, 2^107910260640 is an apocalyptic number.

107910260640 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 107910260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234361512000).

107910260640 is an abundant number, since it is smaller than the sum of its proper divisors (360812763360).

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

107910260640 is a wasteful number, since it uses less digits than its factorization.

107910260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91546 (or 91529 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 107910260640 in words is "one hundred seven billion, nine hundred ten million, two hundred sixty thousand, six hundred forty".