74381541137280 has 192 divisors, whose sum is σ = 276606356382720. Its totient is φ = 18309302415360.

The previous prime is 74381541137263. The next prime is 74381541137329. The reversal of 74381541137280 is 8273114518347.

74381541137280 is a `hidden beast` number, since 7 + 4 + 3 + 8 + 1 + 541 + 13 + 7 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×74381541137280² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496596736 + ... + 496746495.

It is an arithmetic number, because the mean of its divisors is an integer number (1440658106160).

Almost surely, 2^{74381541137280} is an apocalyptic number.

It is an amenable number.

74381541137280 is an abundant number, since it is smaller than the sum of its proper divisors (202224815245440).

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

74381541137280 is a wasteful number, since it uses less digits than its factorization.

74381541137280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993343269 (or 993343254 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 74381541137280 in words is "seventy-four trillion, three hundred eighty-one billion, five hundred forty-one million, one hundred thirty-seven thousand, two hundred eighty".