4817340864 has 672 divisors, whose sum is σ = 18372856320. Its totient is φ = 1218281472.

The previous prime is 4817340851. The next prime is 4817340877. The reversal of 4817340864 is 4680437184.

4817340864 is a `hidden beast` number, since 481 + 73 + 40 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (4817340851) and next prime (4817340877).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35163004 + ... + 35163140.

It is an arithmetic number, because the mean of its divisors is an integer number (27340560).

Almost surely, 2^4817340864 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 4817340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186428160).

4817340864 is an abundant number, since it is smaller than the sum of its proper divisors (13555515456).

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

4817340864 is a wasteful number, since it uses less digits than its factorization.

4817340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4817340864 is about 69407.0663837624. The cubic root of 4817340864 is about 1688.8942574878.

The spelling of 4817340864 in words is "four billion, eight hundred seventeen million, three hundred forty thousand, eight hundred sixty-four".