74242959436800 has 4224 divisors, whose sum is σ = 349891785492480. Its totient is φ = 14982473318400.

The previous prime is 74242959436771. The next prime is 74242959436831. The reversal of 74242959436800 is 863495924247.

74242959436800 is a `hidden beast` number, since 7 + 4 + 2 + 4 + 2 + 9 + 594 + 36 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 376867814302 + ... + 376867814498.

It is an arithmetic number, because the mean of its divisors is an integer number (82834229520).

Almost surely, 2^{74242959436800} is an apocalyptic number.

74242959436800 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 74242959436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174945892746240).

74242959436800 is an abundant number, since it is smaller than the sum of its proper divisors (275648826055680).

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

74242959436800 is a wasteful number, since it uses less digits than its factorization.

74242959436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 74242959436800 in words is "seventy-four trillion, two hundred forty-two billion, nine hundred fifty-nine million, four hundred thirty-six thousand, eight hundred".