4688998864 has 120 divisors (see below), whose sum is σ = 10420225920. Its totient is φ = 2026752000.

The previous prime is 4688998861. The next prime is 4688998879.

4688998864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4688998793 and 4688998802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688998861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11693064 + ... + 11693464.

It is an arithmetic number, because the mean of its divisors is an integer number (86835216).

Almost surely, 2^4688998864 is an apocalyptic number.

4688998864 is a gapful number since it is divisible by the number (44) 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 4688998864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210112960).

4688998864 is an abundant number, since it is smaller than the sum of its proper divisors (5731227056).

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

4688998864 is a wasteful number, since it uses less digits than its factorization.

4688998864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 522 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 70.

The square root of 4688998864 is about 68476.2649682355. The cubic root of 4688998864 is about 1673.7607364536.

The spelling of 4688998864 in words is "four billion, six hundred eighty-eight million, nine hundred ninety-eight thousand, eight hundred sixty-four".