4147317664 has 72 divisors (see below), whose sum is σ = 9719142048. Its totient is φ = 1736058240.

The previous prime is 4147317661. The next prime is 4147317673. The reversal of 4147317664 is 4667137414.

4147317664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4147317664² = 34400487612252833792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 4147317664.

It is not an unprimeable number, because it can be changed into a prime (4147317661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36669 + ... + 98179.

It is an arithmetic number, because the mean of its divisors is an integer number (134988084).

Almost surely, 2^4147317664 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 4147317664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859571024).

4147317664 is an abundant number, since it is smaller than the sum of its proper divisors (5571824384).

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

4147317664 is a wasteful number, since it uses less digits than its factorization.

4147317664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61578 (or 61563 counting only the distinct ones).

The product of its digits is 338688, while the sum is 43.

The square root of 4147317664 is about 64399.6713035090. The cubic root of 4147317664 is about 1606.6542745286.

The spelling of 4147317664 in words is "four billion, one hundred forty-seven million, three hundred seventeen thousand, six hundred sixty-four".