107668995517440 has 3520 divisors, whose sum is σ = 483871812019200. Its totient is φ = 22429565190144.

The previous prime is 107668995517417. The next prime is 107668995517481. The reversal of 107668995517440 is 44715599866701.

107668995517440 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 6 + 89 + 95 + 5 + 17 + 440 = 666.

It is a super-2 number, since 2×107668995517440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 388696734582 + ... + 388696734858.

It is an arithmetic number, because the mean of its divisors is an integer number (137463582960).

Almost surely, 2^{107668995517440} is an apocalyptic number.

107668995517440 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 107668995517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241935906009600).

107668995517440 is an abundant number, since it is smaller than the sum of its proper divisors (376202816501760).

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

107668995517440 is an frugal number, since it uses more digits than its factorization.

107668995517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 107668995517440 in words is "one hundred seven trillion, six hundred sixty-eight billion, nine hundred ninety-five million, five hundred seventeen thousand, four hundred forty".