4934476800 has 792 divisors, whose sum is σ = 20255474400. Its totient is φ = 1175961600.

The previous prime is 4934476793. The next prime is 4934476837. The reversal of 4934476800 is 86744394.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×4934476800² = 48698122579476480000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83635171 + ... + 83635229.

Almost surely, 2^4934476800 is an apocalyptic number.

4934476800 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 4934476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10127737200).

4934476800 is an abundant number, since it is smaller than the sum of its proper divisors (15320997600).

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

4934476800 is a wasteful number, since it uses less digits than its factorization.

4934476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4934476800 is about 70245.8311930324. The cubic root of 4934476800 is about 1702.4735387608.

The spelling of 4934476800 in words is "four billion, nine hundred thirty-four million, four hundred seventy-six thousand, eight hundred".