74247231744000 has 3072 divisors, whose sum is σ = 324668561817600. Its totient is φ = 16387080192000.

The previous prime is 74247231743977. The next prime is 74247231744017. The reversal of 74247231744000 is 44713274247.

74247231744000 is a `hidden beast` number, since 7 + 4 + 2 + 4 + 7 + 231 + 7 + 4 + 400 + 0 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 255 ways as a sum of consecutive naturals, for example, 264225023860 + ... + 264225024140.

It is an arithmetic number, because the mean of its divisors is an integer number (105686380800).

Almost surely, 2^{74247231744000} is an apocalyptic number.

74247231744000 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 74247231744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162334280908800).

74247231744000 is an abundant number, since it is smaller than the sum of its proper divisors (250421330073600).

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

74247231744000 is a wasteful number, since it uses less digits than its factorization.

74247231744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 74247231744000 in words is "seventy-four trillion, two hundred forty-seven billion, two hundred thirty-one million, seven hundred forty-four thousand".