74127021696000 has 2112 divisors, whose sum is σ = 340955221501440. Its totient is φ = 15639389798400.

The previous prime is 74127021695999. The next prime is 74127021696053. The reversal of 74127021696000 is 69612072147.

74127021696000 is a `hidden beast` number, since 7 + 4 + 1 + 27 + 0 + 2 + 16 + 9 + 600 + 0 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2830450906 + ... + 2830477094.

Almost surely, 2^{74127021696000} is an apocalyptic number.

74127021696000 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 74127021696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170477610750720).

74127021696000 is an abundant number, since it is smaller than the sum of its proper divisors (266828199805440).

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

74127021696000 is a wasteful number, since it uses less digits than its factorization.

74127021696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26259 (or 26219 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 74127021696000 in words is "seventy-four trillion, one hundred twenty-seven billion, twenty-one million, six hundred ninety-six thousand".