74966201856 has 960 divisors, whose sum is σ = 282168606720. Its totient is φ = 18632540160.

The previous prime is 74966201813. The next prime is 74966201879. The reversal of 74966201856 is 65810266947.

74966201856 is a `hidden beast` number, since 7 + 4 + 9 + 6 + 620 + 1 + 8 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 948939225 + ... + 948939303.

It is an arithmetic number, because the mean of its divisors is an integer number (293925632).

Almost surely, 2^74966201856 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 74966201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141084303360).

74966201856 is an abundant number, since it is smaller than the sum of its proper divisors (207202404864).

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

74966201856 is a wasteful number, since it uses less digits than its factorization.

74966201856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 74966201856 in words is "seventy-four billion, nine hundred sixty-six million, two hundred one thousand, eight hundred fifty-six".