4698008964 has 96 divisors (see below), whose sum is σ = 13301904000. Its totient is φ = 1422074880.

The previous prime is 4698008929. The next prime is 4698009037.

4698008964 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4698008964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539312 + ... + 1542360.

It is an arithmetic number, because the mean of its divisors is an integer number (138561500).

Almost surely, 2^4698008964 is an apocalyptic number.

4698008964 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 4698008964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650952000).

4698008964 is an abundant number, since it is smaller than the sum of its proper divisors (8603895036).

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

4698008964 is a wasteful number, since it uses less digits than its factorization.

4698008964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4698008964 is about 68542.0233433475. The cubic root of 4698008964 is about 1674.8321167151.

The spelling of 4698008964 in words is "four billion, six hundred ninety-eight million, eight thousand, nine hundred sixty-four".