74382416640 has 864 divisors, whose sum is σ = 308558315520. Its totient is φ = 16805117952.

The previous prime is 74382416621. The next prime is 74382416657. The reversal of 74382416640 is 4661428347.

74382416640 is a `hidden beast` number, since 74 + 382 + 4 + 166 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276514426 + ... + 276514694.

It is an arithmetic number, because the mean of its divisors is an integer number (357127680).

Almost surely, 2^74382416640 is an apocalyptic number.

74382416640 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 74382416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154279157760).

74382416640 is an abundant number, since it is smaller than the sum of its proper divisors (234175898880).

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

74382416640 is a wasteful number, since it uses less digits than its factorization.

74382416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 74382416640 in words is "seventy-four billion, three hundred eighty-two million, four hundred sixteen thousand, six hundred forty".