4798679760 has 800 divisors, whose sum is σ = 20741529600. Its totient is φ = 1024192512.

The previous prime is 4798679749. The next prime is 4798679761. The reversal of 4798679760 is 679768974.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4798679761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37784817 + ... + 37784943.

It is an arithmetic number, because the mean of its divisors is an integer number (25926912).

Almost surely, 2^4798679760 is an apocalyptic number.

4798679760 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 4798679760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370764800).

4798679760 is an abundant number, since it is smaller than the sum of its proper divisors (15942849840).

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

4798679760 is a wasteful number, since it uses less digits than its factorization.

4798679760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The square root of 4798679760 is about 69272.5036360026. The cubic root of 4798679760 is about 1686.7106589854.

The spelling of 4798679760 in words is "four billion, seven hundred ninety-eight million, six hundred seventy-nine thousand, seven hundred sixty".