4801477824 has 672 divisors, whose sum is σ = 17893564416. Its totient is φ = 1254113280.

The previous prime is 4801477819. The next prime is 4801477867. The reversal of 4801477824 is 4287741084.

4801477824 is a `hidden beast` number, since 480 + 147 + 7 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4801477824.

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, 37806849 + ... + 37806975.

It is an arithmetic number, because the mean of its divisors is an integer number (26627328).

Almost surely, 2^4801477824 is an apocalyptic number.

4801477824 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 4801477824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946782208).

4801477824 is an abundant number, since it is smaller than the sum of its proper divisors (13092086592).

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

4801477824 is a wasteful number, since it uses less digits than its factorization.

4801477824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 4801477824 is about 69292.6967580278. The cubic root of 4801477824 is about 1687.0384302061.

The spelling of 4801477824 in words is "four billion, eight hundred one million, four hundred seventy-seven thousand, eight hundred twenty-four".