74212798464000 has 3072 divisors, whose sum is σ = 324585858355200. Its totient is φ = 15953559552000.

The previous prime is 74212798463989. The next prime is 74212798464023. The reversal of 74212798464000 is 46489721247.

74212798464000 is a `hidden beast` number, since 74 + 2 + 1 + 27 + 98 + 464 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

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, 351719423895 + ... + 351719424105.

It is an arithmetic number, because the mean of its divisors is an integer number (105659459100).

Almost surely, 2^{74212798464000} is an apocalyptic number.

74212798464000 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 74212798464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162292929177600).

74212798464000 is an abundant number, since it is smaller than the sum of its proper divisors (250373059891200).

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

74212798464000 is a wasteful number, since it uses less digits than its factorization.

74212798464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 74212798464000 in words is "seventy-four trillion, two hundred twelve billion, seven hundred ninety-eight million, four hundred sixty-four thousand".