74580549120 has 1280 divisors, whose sum is σ = 336295618560. Its totient is φ = 15407677440.

The previous prime is 74580549119. The next prime is 74580549137. The reversal of 74580549120 is 2194508547.

74580549120 is a `hidden beast` number, since 7 + 4 + 5 + 80 + 549 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 431101354 + ... + 431101526.

It is an arithmetic number, because the mean of its divisors is an integer number (262730952).

Almost surely, 2^74580549120 is an apocalyptic number.

74580549120 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 74580549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168147809280).

74580549120 is an abundant number, since it is smaller than the sum of its proper divisors (261715069440).

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

74580549120 is an equidigital number, since it uses as much as digits as its factorization.

74580549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 74580549120 in words is "seventy-four billion, five hundred eighty million, five hundred forty-nine thousand, one hundred twenty".