74350132416 has 224 divisors, whose sum is σ = 262948928000. Its totient is φ = 20124785664.

The previous prime is 74350132391. The next prime is 74350132429. The reversal of 74350132416 is 61423105347.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68070 + ... + 391578.

Almost surely, 2^74350132416 is an apocalyptic number.

74350132416 is a gapful number since it is divisible by the number (76) 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 74350132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131474464000).

74350132416 is an abundant number, since it is smaller than the sum of its proper divisors (188598795584).

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

74350132416 is a wasteful number, since it uses less digits than its factorization.

74350132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323556 (or 323540 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 74350132416 in words is "seventy-four billion, three hundred fifty million, one hundred thirty-two thousand, four hundred sixteen".