74109943111680 has 1792 divisors, whose sum is σ = 309211221657600. Its totient is φ = 16697049219072.

The previous prime is 74109943111639. The next prime is 74109943111681. The reversal of 74109943111680 is 8611134990147.

It is a happy number.

74109943111680 is a `hidden beast` number, since 7 + 4 + 1 + 0 + 99 + 431 + 116 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74109943111681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45775133911 + ... + 45775135529.

Almost surely, 2^{74109943111680} is an apocalyptic number.

74109943111680 is a gapful number since it is divisible by the number (70) 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 74109943111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154605610828800).

74109943111680 is an abundant number, since it is smaller than the sum of its proper divisors (235101278545920).

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

74109943111680 is an frugal number, since it uses more digits than its factorization.

74109943111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 74109943111680 in words is "seventy-four trillion, one hundred nine billion, nine hundred forty-three million, one hundred eleven thousand, six hundred eighty".