74806824960 has 624 divisors, whose sum is σ = 304544787456. Its totient is φ = 16625958912.

The previous prime is 74806824959. The next prime is 74806824991. The reversal of 74806824960 is 6942860847.

74806824960 is a `hidden beast` number, since 7 + 480 + 68 + 2 + 49 + 60 = 666.

It is a super-2 number, since 2×74806824960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74806824897 and 74806824906.

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 47 ways as a sum of consecutive naturals, for example, 47738097 + ... + 47739663.

It is an arithmetic number, because the mean of its divisors is an integer number (488052544).

Almost surely, 2^74806824960 is an apocalyptic number.

74806824960 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 74806824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152272393728).

74806824960 is an abundant number, since it is smaller than the sum of its proper divisors (229737962496).

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

74806824960 is a wasteful number, since it uses less digits than its factorization.

74806824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 74806824960 in words is "seventy-four billion, eight hundred six million, eight hundred twenty-four thousand, nine hundred sixty".