74820544080480 has 1536 divisors, whose sum is σ = 304492015779840. Its totient is φ = 16987014144000.

The previous prime is 74820544080467. The next prime is 74820544080487. The reversal of 74820544080480 is 8408044502847.

74820544080480 is a `hidden beast` number, since 7 + 4 + 82 + 0 + 5 + 4 + 4 + 0 + 80 + 480 = 666.

It is a super-2 number, since 2×74820544080480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74820544080487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10410535447 + ... + 10410542633.

It is an arithmetic number, because the mean of its divisors is an integer number (198236989440).

Almost surely, 2^{74820544080480} 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 74820544080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152246007889920).

74820544080480 is an abundant number, since it is smaller than the sum of its proper divisors (229671471699360).

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

74820544080480 is a wasteful number, since it uses less digits than its factorization.

74820544080480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7481 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 74820544080480 in words is "seventy-four trillion, eight hundred twenty billion, five hundred forty-four million, eighty thousand, four hundred eighty".