74705081068800 has 2592 divisors, whose sum is σ = 354258735989760. Its totient is φ = 15252804403200.

The previous prime is 74705081068781. The next prime is 74705081068843. The reversal of 74705081068800 is 886018050747.

It is a happy number.

74705081068800 is a `hidden beast` number, since 7 + 4 + 70 + 508 + 1 + 0 + 68 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3412270654 + ... + 3412292546.

Almost surely, 2^{74705081068800} is an apocalyptic number.

74705081068800 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 74705081068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177129367994880).

74705081068800 is an abundant number, since it is smaller than the sum of its proper divisors (279553654920960).

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

74705081068800 is a wasteful number, since it uses less digits than its factorization.

74705081068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21986 (or 21954 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 74705081068800 in words is "seventy-four trillion, seven hundred five billion, eighty-one million, sixty-eight thousand, eight hundred".