74109263800320 has 1344 divisors, whose sum is σ = 312133417989120. Its totient is φ = 16525629849600.

The previous prime is 74109263800289. The next prime is 74109263800333. The reversal of 74109263800320 is 2300836290147.

74109263800320 is a `hidden beast` number, since 7 + 4 + 1 + 0 + 9 + 2 + 638 + 0 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2142426225 + ... + 2142460815.

It is an arithmetic number, because the mean of its divisors is an integer number (232242126480).

Almost surely, 2^{74109263800320} is an apocalyptic number.

74109263800320 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 74109263800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156066708994560).

74109263800320 is an abundant number, since it is smaller than the sum of its proper divisors (238024154188800).

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

74109263800320 is an equidigital number, since it uses as much as digits as its factorization.

74109263800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34684 (or 34649 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 74109263800320 in words is "seventy-four trillion, one hundred nine billion, two hundred sixty-three million, eight hundred thousand, three hundred twenty".