4803634006080 has 1792 divisors, whose sum is σ = 20736084934656. Its totient is φ = 913259888640.

The previous prime is 4803634006079. The next prime is 4803634006139. The reversal of 4803634006080 is 806004363084.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4741987654 + ... + 4741988666.

It is an arithmetic number, because the mean of its divisors is an integer number (11571475968).

Almost surely, 2^{4803634006080} is an apocalyptic number.

4803634006080 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 4803634006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368042467328).

4803634006080 is an abundant number, since it is smaller than the sum of its proper divisors (15932450928576).

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

4803634006080 is a wasteful number, since it uses less digits than its factorization.

4803634006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 4803634006080 in words is "four trillion, eight hundred three billion, six hundred thirty-four million, six thousand, eighty".