4963749336 has 448 divisors, whose sum is σ = 17627904000. Its totient is φ = 1274828544.

The previous prime is 4963749331. The next prime is 4963749377. The reversal of 4963749336 is 6339473694.

4963749336 is a `hidden beast` number, since 4 + 96 + 37 + 493 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4963749331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24943365 + ... + 24943563.

It is an arithmetic number, because the mean of its divisors is an integer number (39348000).

Almost surely, 2^4963749336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4963749336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8813952000).

4963749336 is an abundant number, since it is smaller than the sum of its proper divisors (12664154664).

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

4963749336 is a wasteful number, since it uses less digits than its factorization.

4963749336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 271 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The square root of 4963749336 is about 70453.8809151064. The cubic root of 4963749336 is about 1705.8334015882.

The spelling of 4963749336 in words is "four billion, nine hundred sixty-three million, seven hundred forty-nine thousand, three hundred thirty-six".