74801669664384 has 3072 divisors, whose sum is σ = 280182442176000. Its totient is φ = 19607165337600.

The previous prime is 74801669664383. The next prime is 74801669664409. The reversal of 74801669664384 is 48346696610847.

74801669664384 is a `hidden beast` number, since 7 + 4 + 80 + 166 + 9 + 6 + 6 + 4 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (74801669664383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 326644845582 + ... + 326644845810.

Almost surely, 2^{74801669664384} 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 74801669664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140091221088000).

74801669664384 is an abundant number, since it is smaller than the sum of its proper divisors (205380772511616).

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

74801669664384 is a wasteful number, since it uses less digits than its factorization.

74801669664384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 74801669664384 in words is "seventy-four trillion, eight hundred one billion, six hundred sixty-nine million, six hundred sixty-four thousand, three hundred eighty-four".