4698768000 has 256 divisors, whose sum is σ = 15878903040. Its totient is φ = 1228697600.

The previous prime is 4698767987. The next prime is 4698768013. The reversal of 4698768000 is 8678964.

It is an interprime number because it is at equal distance from previous prime (4698767987) and next prime (4698768013).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2543077 + ... + 2544923.

It is an arithmetic number, because the mean of its divisors is an integer number (62026965).

Almost surely, 2^4698768000 is an apocalyptic number.

4698768000 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 4698768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939451520).

4698768000 is an abundant number, since it is smaller than the sum of its proper divisors (11180135040).

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

4698768000 is a wasteful number, since it uses less digits than its factorization.

4698768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 4698768000 is about 68547.5601316342. The cubic root of 4698768000 is about 1674.9223102008.

The spelling of 4698768000 in words is "four billion, six hundred ninety-eight million, seven hundred sixty-eight thousand".