74054373120 has 1440 divisors, whose sum is σ = 335062683648. Its totient is φ = 15200649216.

The previous prime is 74054373109. The next prime is 74054373139. The reversal of 74054373120 is 2137345047.

74054373120 is a `hidden beast` number, since 7 + 40 + 543 + 73 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 443439277 + ... + 443439443.

Almost surely, 2^74054373120 is an apocalyptic number.

74054373120 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 74054373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167531341824).

74054373120 is an abundant number, since it is smaller than the sum of its proper divisors (261008310528).

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

74054373120 is a wasteful number, since it uses less digits than its factorization.

74054373120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 74054373120 in words is "seventy-four billion, fifty-four million, three hundred seventy-three thousand, one hundred twenty".