742106002176 has 2160 divisors, whose sum is σ = 3031519518720. Its totient is φ = 176272588800.

The previous prime is 742106002087. The next prime is 742106002189. The reversal of 742106002176 is 671200601247.

742106002176 is a `hidden beast` number, since 7 + 4 + 21 + 0 + 600 + 21 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 742106002176.

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 239 ways as a sum of consecutive naturals, for example, 15789489385 + ... + 15789489431.

Almost surely, 2^742106002176 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 742106002176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515759759360).

742106002176 is an abundant number, since it is smaller than the sum of its proper divisors (2289413516544).

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

742106002176 is a wasteful number, since it uses less digits than its factorization.

742106002176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 742106002176 in words is "seven hundred forty-two billion, one hundred six million, two thousand, one hundred seventy-six".