74984823373824 has 960 divisors, whose sum is σ = 273974481177600. Its totient is φ = 19737624969216.

The previous prime is 74984823373781. The next prime is 74984823373853. The reversal of 74984823373824 is 42837332848947.

74984823373824 is a `hidden beast` number, since 7 + 4 + 9 + 8 + 4 + 8 + 233 + 7 + 382 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24837634587 + ... + 24837637605.

It is an arithmetic number, because the mean of its divisors is an integer number (285390084560).

Almost surely, 2^{74984823373824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74984823373824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136987240588800).

74984823373824 is an abundant number, since it is smaller than the sum of its proper divisors (198989657803776).

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

74984823373824 is a wasteful number, since it uses less digits than its factorization.

74984823373824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3661 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 72.

The spelling of 74984823373824 in words is "seventy-four trillion, nine hundred eighty-four billion, eight hundred twenty-three million, three hundred seventy-three thousand, eight hundred twenty-four".