74241445543776 has 1344 divisors, whose sum is σ = 269437224268800. Its totient is φ = 19655350161408.

The previous prime is 74241445543763. The next prime is 74241445543817. The reversal of 74241445543776 is 67734554414247.

74241445543776 is a `hidden beast` number, since 7 + 4 + 2 + 4 + 1 + 4 + 4 + 554 + 3 + 7 + 76 = 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 223 ways as a sum of consecutive naturals, for example, 83699487205 + ... + 83699488091.

It is an arithmetic number, because the mean of its divisors is an integer number (200474125200).

Almost surely, 2^{74241445543776} is an apocalyptic number.

74241445543776 is a gapful number since it is divisible by the number (76) 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 74241445543776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134718612134400).

74241445543776 is an abundant number, since it is smaller than the sum of its proper divisors (195195778725024).

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

74241445543776 is a wasteful number, since it uses less digits than its factorization.

74241445543776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1480 counting only the distinct ones).

The product of its digits is 316108800, while the sum is 63.

The spelling of 74241445543776 in words is "seventy-four trillion, two hundred forty-one billion, four hundred forty-five million, five hundred forty-three thousand, seven hundred seventy-six".