4698408960 has 288 divisors, whose sum is σ = 18612659520. Its totient is φ = 1073774592.

The previous prime is 4698408937. The next prime is 4698408961. The reversal of 4698408960 is 698048964.

4698408960 is a `hidden beast` number, since 469 + 8 + 40 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4698408897 and 4698408906.

It is not an unprimeable number, because it can be changed into a prime (4698408961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641479 + ... + 648761.

It is an arithmetic number, because the mean of its divisors is an integer number (64627290).

Almost surely, 2^4698408960 is an apocalyptic number.

4698408960 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 4698408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9306329760).

4698408960 is an abundant number, since it is smaller than the sum of its proper divisors (13914250560).

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

4698408960 is a wasteful number, since it uses less digits than its factorization.

4698408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7323 (or 7300 counting only the distinct ones).

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

The square root of 4698408960 is about 68544.9411700090. The cubic root of 4698408960 is about 1674.8796479948.

The spelling of 4698408960 in words is "four billion, six hundred ninety-eight million, four hundred eight thousand, nine hundred sixty".