74105669030400 has 2160 divisors, whose sum is σ = 317007130137984. Its totient is φ = 16192862945280.

The previous prime is 74105669030387. The next prime is 74105669030531. The reversal of 74105669030400 is 403096650147.

74105669030400 is a `hidden beast` number, since 7 + 4 + 10 + 566 + 9 + 0 + 30 + 40 + 0 = 666.

It is a super-2 number, since 2×74105669030400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 76634610717 + ... + 76634611683.

Almost surely, 2^{74105669030400} is an apocalyptic number.

74105669030400 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 74105669030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158503565068992).

74105669030400 is an abundant number, since it is smaller than the sum of its proper divisors (242901461107584).

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

74105669030400 is a wasteful number, since it uses less digits than its factorization.

74105669030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 74105669030400 in words is "seventy-four trillion, one hundred five billion, six hundred sixty-nine million, thirty thousand, four hundred".