74667413882880 has 5184 divisors, whose sum is σ = 359328492169920. Its totient is φ = 14736332685312.

The previous prime is 74667413882753. The next prime is 74667413882881. The reversal of 74667413882880 is 8828831476647.

74667413882880 is a `hidden beast` number, since 7 + 466 + 7 + 4 + 1 + 3 + 8 + 82 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a junction number, because it is equal to n+sod(n) for n = 74667413882799 and 74667413882808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74667413882881) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 458082293679 + ... + 458082293841.

It is an arithmetic number, because the mean of its divisors is an integer number (69314909755).

Almost surely, 2^{74667413882880} is an apocalyptic number.

74667413882880 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 74667413882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179664246084960).

74667413882880 is an abundant number, since it is smaller than the sum of its proper divisors (284661078287040).

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

74667413882880 is a wasteful number, since it uses less digits than its factorization.

74667413882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 74667413882880 in words is "seventy-four trillion, six hundred sixty-seven billion, four hundred thirteen million, eight hundred eighty-two thousand, eight hundred eighty".