74876046336 has 1056 divisors, whose sum is σ = 289936424960. Its totient is φ = 18059231232.

The previous prime is 74876046331. The next prime is 74876046347. The reversal of 74876046336 is 63364067847.

It is a happy number.

74876046336 is a `hidden beast` number, since 74 + 87 + 6 + 0 + 463 + 36 = 666.

It is not an unprimeable number, because it can be changed into a prime (74876046331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 589575105 + ... + 589575231.

Almost surely, 2^74876046336 is an apocalyptic number.

74876046336 is a gapful number since it is divisible by the number (76) 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 74876046336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144968212480).

74876046336 is an abundant number, since it is smaller than the sum of its proper divisors (215060378624).

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

74876046336 is a wasteful number, since it uses less digits than its factorization.

74876046336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 74876046336 in words is "seventy-four billion, eight hundred seventy-six million, forty-six thousand, three hundred thirty-six".