47765664 has 72 divisors (see below), whose sum is σ = 141759072. Its totient is φ = 15227520.

The previous prime is 47765657. The next prime is 47765671. The reversal of 47765664 is 46656774.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47765657) and next prime (47765671).

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 3019 + ... + 10229.

It is an arithmetic number, because the mean of its divisors is an integer number (1968876).

Almost surely, 2^47765664 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 47765664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70879536).

47765664 is an abundant number, since it is smaller than the sum of its proper divisors (93993408).

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

47765664 is a wasteful number, since it uses less digits than its factorization.

47765664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250 (or 7239 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 47765664 is about 6911.2707948683. The cubic root of 47765664 is about 362.8317413406.

It can be divided in two parts, 4776 and 5664, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 47765664 in words is "forty-seven million, seven hundred sixty-five thousand, six hundred sixty-four".