4864688640 has 720 divisors, whose sum is σ = 20376195840. Its totient is φ = 1068318720.

The previous prime is 4864688629. The next prime is 4864688651. The reversal of 4864688640 is 468864684.

4864688640 is a `hidden beast` number, since 486 + 46 + 8 + 86 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4864688629) and next prime (4864688651).

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 34997691 + ... + 34997829.

It is an arithmetic number, because the mean of its divisors is an integer number (28300272).

Almost surely, 2^4864688640 is an apocalyptic number.

4864688640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4864688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10188097920).

4864688640 is an abundant number, since it is smaller than the sum of its proper divisors (15511507200).

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

4864688640 is a wasteful number, since it uses less digits than its factorization.

4864688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The square root of 4864688640 is about 69747.3199485113. The cubic root of 4864688640 is about 1694.4093903879.

The spelling of 4864688640 in words is "four billion, eight hundred sixty-four million, six hundred eighty-eight thousand, six hundred forty".