74419550861760 has 1344 divisors, whose sum is σ = 295780619796480. Its totient is φ = 17039975546880.

The previous prime is 74419550861741. The next prime is 74419550861807. The reversal of 74419550861760 is 6716805591447.

74419550861760 is a `hidden beast` number, since 7 + 4 + 4 + 1 + 9 + 5 + 5 + 0 + 8 + 617 + 6 + 0 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 3564315001 + ... + 3564335879.

It is an arithmetic number, because the mean of its divisors is an integer number (220074865920).

Almost surely, 2^{74419550861760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74419550861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147890309898240).

74419550861760 is an abundant number, since it is smaller than the sum of its proper divisors (221361068934720).

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

74419550861760 is a wasteful number, since it uses less digits than its factorization.

74419550861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21066 (or 21053 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 74419550861760 in words is "seventy-four trillion, four hundred nineteen billion, five hundred fifty million, eight hundred sixty-one thousand, seven hundred sixty".