74428836249600 has 2304 divisors, whose sum is σ = 326372537487360. Its totient is φ = 16453966233600.

The previous prime is 74428836249539. The next prime is 74428836249641. The reversal of 74428836249600 is 694263882447.

74428836249600 is a `hidden beast` number, since 7 + 4 + 4 + 2 + 8 + 83 + 62 + 496 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43197234339 + ... + 43197236061.

Almost surely, 2^{74428836249600} is an apocalyptic number.

74428836249600 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 74428836249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163186268743680).

74428836249600 is an abundant number, since it is smaller than the sum of its proper divisors (251943701237760).

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

74428836249600 is an equidigital number, since it uses as much as digits as its factorization.

74428836249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 74428836249600 in words is "seventy-four trillion, four hundred twenty-eight billion, eight hundred thirty-six million, two hundred forty-nine thousand, six hundred".