74830540960 has 96 divisors (see below), whose sum is σ = 202910303232. Its totient is φ = 25545984000.

The previous prime is 74830540957. The next prime is 74830540969. The reversal of 74830540960 is 6904503847.

It is a self number, because there is not a number n which added to its sum of digits gives 74830540960.

It is not an unprimeable number, because it can be changed into a prime (74830540969) 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 15 ways as a sum of consecutive naturals, for example, 117585 + ... + 404335.

It is an arithmetic number, because the mean of its divisors is an integer number (2113648992).

Almost surely, 2^74830540960 is an apocalyptic number.

74830540960 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 74830540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101455151616).

74830540960 is an abundant number, since it is smaller than the sum of its proper divisors (128079762272).

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

74830540960 is a wasteful number, since it uses less digits than its factorization.

74830540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287006 (or 286998 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 74830540960 in words is "seventy-four billion, eight hundred thirty million, five hundred forty thousand, nine hundred sixty".