4682912379264 has 1024 divisors, whose sum is σ = 16981913088000. Its totient is φ = 1242036633600.

The previous prime is 4682912379253. The next prime is 4682912379269. The reversal of 4682912379264 is 4629732192864.

4682912379264 is a `hidden beast` number, since 4 + 68 + 291 + 23 + 7 + 9 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4682912379269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2042263302 + ... + 2042265594.

It is an arithmetic number, because the mean of its divisors is an integer number (16583899500).

Almost surely, 2^{4682912379264} 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 4682912379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8490956544000).

4682912379264 is an abundant number, since it is smaller than the sum of its proper divisors (12299000708736).

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

4682912379264 is a wasteful number, since it uses less digits than its factorization.

4682912379264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2446 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 4682912379264 in words is "four trillion, six hundred eighty-two billion, nine hundred twelve million, three hundred seventy-nine thousand, two hundred sixty-four".