47650966272 has 864 divisors, whose sum is σ = 185617111680. Its totient is φ = 11395399680.

The previous prime is 47650966219. The next prime is 47650966291. The reversal of 47650966272 is 27266905674.

47650966272 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 0 + 9 + 6 + 627 + 2 = 666.

It is a super-2 number, since 2×47650966272² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103364122 + ... + 103364582.

It is an arithmetic number, because the mean of its divisors is an integer number (214834620).

Almost surely, 2^47650966272 is an apocalyptic number.

47650966272 is a gapful number since it is divisible by the number (42) 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 47650966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92808555840).

47650966272 is an abundant number, since it is smaller than the sum of its proper divisors (137966145408).

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

47650966272 is a wasteful number, since it uses less digits than its factorization.

47650966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 47650966272 in words is "forty-seven billion, six hundred fifty million, nine hundred sixty-six thousand, two hundred seventy-two".