47774664 has 128 divisors (see below), whose sum is σ = 159744000. Its totient is φ = 12923712.

The previous prime is 47774653. The next prime is 47774681. The reversal of 47774664 is 46647774.

It is a super-3 number, since 3×47774664³ (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27897 + ... + 29559.

It is an arithmetic number, because the mean of its divisors is an integer number (1248000).

Almost surely, 2^47774664 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 47774664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79872000).

47774664 is an abundant number, since it is smaller than the sum of its proper divisors (111969336).

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

47774664 is a wasteful number, since it uses less digits than its factorization.

47774664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1694 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 47774664 is about 6911.9218745585. The cubic root of 47774664 is about 362.8545281455.

The spelling of 47774664 in words is "forty-seven million, seven hundred seventy-four thousand, six hundred sixty-four".