74687601312 has 336 divisors, whose sum is σ = 230316828840. Its totient is φ = 23800283136.

The previous prime is 74687601227. The next prime is 74687601319. The reversal of 74687601312 is 21310678647.

74687601312 is a `hidden beast` number, since 7 + 4 + 6 + 8 + 7 + 601 + 31 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61007024016 + 13680577296 = 246996^2 + 116964^2 .

It is not an unprimeable number, because it can be changed into a prime (74687601319) 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 55 ways as a sum of consecutive naturals, for example, 76445368 + ... + 76446344.

Almost surely, 2^74687601312 is an apocalyptic number.

74687601312 is a gapful number since it is divisible by the number (72) 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 74687601312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115158414420).

74687601312 is an abundant number, since it is smaller than the sum of its proper divisors (155629227528).

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

74687601312 is a wasteful number, since it uses less digits than its factorization.

74687601312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 74687601312 in words is "seventy-four billion, six hundred eighty-seven million, six hundred one thousand, three hundred twelve".