74324049251760 has 1600 divisors, whose sum is σ = 331165795175424. Its totient is φ = 15001998336000.

The previous prime is 74324049251729. The next prime is 74324049251783. The reversal of 74324049251760 is 6715294042347.

74324049251760 is a `hidden beast` number, since 7 + 4 + 3 + 2 + 40 + 492 + 51 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 74324049251697 and 74324049251706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2670918967 + ... + 2670946793.

Almost surely, 2^{74324049251760} is an apocalyptic number.

74324049251760 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 74324049251760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165582897587712).

74324049251760 is an abundant number, since it is smaller than the sum of its proper divisors (256841745923664).

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

74324049251760 is a wasteful number, since it uses less digits than its factorization.

74324049251760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28024 (or 28009 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

It can be divided in two parts, 743240 and 49251760, that added together give a triangular number (49995000 = T₉₉₉₉).

The spelling of 74324049251760 in words is "seventy-four trillion, three hundred twenty-four billion, forty-nine million, two hundred fifty-one thousand, seven hundred sixty".