107706664674240 has 336 divisors, whose sum is σ = 360959990336640. Its totient is φ = 27206659676160.

The previous prime is 107706664674199. The next prime is 107706664674289. The reversal of 107706664674240 is 42476466607701.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3791005635 + ... + 3791034045.

Almost surely, 2^{107706664674240} is an apocalyptic number.

107706664674240 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 107706664674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180479995168320).

107706664674240 is an abundant number, since it is smaller than the sum of its proper divisors (253253325662400).

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

107706664674240 is a wasteful number, since it uses less digits than its factorization.

107706664674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39408 (or 39379 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 60.

The spelling of 107706664674240 in words is "one hundred seven trillion, seven hundred six billion, six hundred sixty-four million, six hundred seventy-four thousand, two hundred forty".