74406543513120 has 288 divisors, whose sum is σ = 312507483305472. Its totient is φ = 15698962999296.

The previous prime is 74406543513053. The next prime is 74406543513149. The reversal of 74406543513120 is 2131534560447.

74406543513120 is a `hidden beast` number, since 7 + 4 + 4 + 0 + 6 + 5 + 4 + 3 + 513 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×74406543513120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283776712 + ... + 284038791.

It is an arithmetic number, because the mean of its divisors is an integer number (1085095428144).

Almost surely, 2^{74406543513120} is an apocalyptic number.

74406543513120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

74406543513120 is an abundant number, since it is smaller than the sum of its proper divisors (238100939792352).

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

74406543513120 is a wasteful number, since it uses less digits than its factorization.

74406543513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567815544 (or 567815533 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 74406543513120 in words is "seventy-four trillion, four hundred six billion, five hundred forty-three million, five hundred thirteen thousand, one hundred twenty".