74362112640 has 512 divisors, whose sum is σ = 280749369600. Its totient is φ = 18536988672.

The previous prime is 74362112639. The next prime is 74362112687. The reversal of 74362112640 is 4621126347.

74362112640 is a `hidden beast` number, since 7 + 4 + 3 + 6 + 2 + 1 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74362112595 and 74362112604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47882104 + ... + 47883656.

Almost surely, 2^74362112640 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 74362112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140374684800).

74362112640 is an abundant number, since it is smaller than the sum of its proper divisors (206387256960).

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

74362112640 is a wasteful number, since it uses less digits than its factorization.

74362112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 74362112640 its reverse (4621126347), we get a palindrome (78983238987).

The spelling of 74362112640 in words is "seventy-four billion, three hundred sixty-two million, one hundred twelve thousand, six hundred forty".