107380346673600 has 8064 divisors, whose sum is σ = 574257245184000. Its totient is φ = 19313344512000.

The previous prime is 107380346673547. The next prime is 107380346673667. The reversal of 107380346673600 is 6376643083701.

107380346673600 is a `hidden beast` number, since 1 + 0 + 73 + 80 + 3 + 466 + 7 + 36 + 0 + 0 = 666.

107380346673600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 396237441465 + ... + 396237441735.

It is an arithmetic number, because the mean of its divisors is an integer number (71212456000).

Almost surely, 2^{107380346673600} is an apocalyptic number.

107380346673600 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 107380346673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287128622592000).

107380346673600 is an abundant number, since it is smaller than the sum of its proper divisors (466876898510400).

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

107380346673600 is a wasteful number, since it uses less digits than its factorization.

107380346673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 107380346673600 in words is "one hundred seven trillion, three hundred eighty billion, three hundred forty-six million, six hundred seventy-three thousand, six hundred".