74276860041216 has 1728 divisors, whose sum is σ = 271819187640000. Its totient is φ = 19113883729920.

The previous prime is 74276860041179. The next prime is 74276860041283. The reversal of 74276860041216 is 61214006867247.

74276860041216 is a `hidden beast` number, since 7 + 4 + 2 + 7 + 6 + 8 + 600 + 4 + 1 + 21 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161121171226 + ... + 161121171686.

It is an arithmetic number, because the mean of its divisors is an integer number (157302770625).

Almost surely, 2^{74276860041216} 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 74276860041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135909593820000).

74276860041216 is an abundant number, since it is smaller than the sum of its proper divisors (197542327598784).

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

74276860041216 is a wasteful number, since it uses less digits than its factorization.

74276860041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 74276860041216 in words is "seventy-four trillion, two hundred seventy-six billion, eight hundred sixty million, forty-one thousand, two hundred sixteen".