74234285798400 has 3168 divisors, whose sum is σ = 346039123189760. Its totient is φ = 14765571440640.

The previous prime is 74234285798317. The next prime is 74234285798417. The reversal of 74234285798400 is 489758243247.

It is a happy number.

74234285798400 is a `hidden beast` number, since 7 + 4 + 2 + 34 + 28 + 579 + 8 + 4 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122297010897 + ... + 122297011503.

Almost surely, 2^{74234285798400} is an apocalyptic number.

74234285798400 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 74234285798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173019561594880).

74234285798400 is an abundant number, since it is smaller than the sum of its proper divisors (271804837391360).

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

74234285798400 is a wasteful number, since it uses less digits than its factorization.

74234285798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 74234285798400 in words is "seventy-four trillion, two hundred thirty-four billion, two hundred eighty-five million, seven hundred ninety-eight thousand, four hundred".