107613637680000 has 320 divisors, whose sum is σ = 359335602299520. Its totient is φ = 28525121280000.

The previous prime is 107613637679953. The next prime is 107613637680019. The reversal of 107613637680000 is 86736316701.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38737515 + ... + 41422485.

It is an arithmetic number, because the mean of its divisors is an integer number (1122923757186).

Almost surely, 2^{107613637680000} is an apocalyptic number.

107613637680000 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 107613637680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179667801149760).

107613637680000 is an abundant number, since it is smaller than the sum of its proper divisors (251721964619520).

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

107613637680000 is an equidigital number, since it uses as much as digits as its factorization.

107613637680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685175 (or 2685148 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 107613637680000 in words is "one hundred seven trillion, six hundred thirteen billion, six hundred thirty-seven million, six hundred eighty thousand".