107740687541760 has 3200 divisors, whose sum is σ = 497048770842624. Its totient is φ = 21698468904960.

The previous prime is 107740687541759. The next prime is 107740687541783. The reversal of 107740687541760 is 67145786047701.

It is a happy number.

107740687541760 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 4 + 0 + 6 + 87 + 541 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 36362026039 + ... + 36362029001.

Almost surely, 2^{107740687541760} is an apocalyptic number.

107740687541760 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 107740687541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248524385421312).

107740687541760 is an abundant number, since it is smaller than the sum of its proper divisors (389308083300864).

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

107740687541760 is a wasteful number, since it uses less digits than its factorization.

107740687541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 107740687541760 in words is "one hundred seven trillion, seven hundred forty billion, six hundred eighty-seven million, five hundred forty-one thousand, seven hundred sixty".