47477664 has 120 divisors (see below), whose sum is σ = 150478020. Its totient is φ = 14598144.

The previous prime is 47477641. The next prime is 47477687. The reversal of 47477664 is 46677474.

It is an interprime number because it is at equal distance from previous prime (47477641) and next prime (47477687).

It can be written as a sum of positive squares in 2 ways, for example, as 35283600 + 12194064 = 5940^2 + 3492^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32992 + ... + 34400.

Almost surely, 2^47477664 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 47477664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75239010).

47477664 is an abundant number, since it is smaller than the sum of its proper divisors (103000356).

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

47477664 is a wasteful number, since it uses less digits than its factorization.

47477664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1427 counting only the distinct ones).

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

The square root of 47477664 is about 6890.4037617545. The cubic root of 47477664 is about 362.1010472572.

The spelling of 47477664 in words is "forty-seven million, four hundred seventy-seven thousand, six hundred sixty-four".