4826476800 has 864 divisors, whose sum is σ = 19708738560. Its totient is φ = 1150156800.

The previous prime is 4826476777. The next prime is 4826476819. The reversal of 4826476800 is 86746284.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91065574 + ... + 91065626.

It is an arithmetic number, because the mean of its divisors is an integer number (22811040).

Almost surely, 2^4826476800 is an apocalyptic number.

4826476800 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 4826476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9854369280).

4826476800 is an abundant number, since it is smaller than the sum of its proper divisors (14882261760).

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

4826476800 is a wasteful number, since it uses less digits than its factorization.

4826476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4826476800 is about 69472.8493729745. The cubic root of 4826476800 is about 1689.9612282925.

The spelling of 4826476800 in words is "four billion, eight hundred twenty-six million, four hundred seventy-six thousand, eight hundred".