4626833578900 has 144 divisors (see below), whose sum is σ = 10853711817984. Its totient is φ = 1701879275520.

The previous prime is 4626833578837. The next prime is 4626833578901. The reversal of 4626833578900 is 98753386264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4626833578901) 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 47 ways as a sum of consecutive naturals, for example, 377294169 + ... + 377306431.

It is an arithmetic number, because the mean of its divisors is an integer number (75372998736).

Almost surely, 2^{4626833578900} 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 4626833578900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426855908992).

4626833578900 is an abundant number, since it is smaller than the sum of its proper divisors (6226878239084).

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

4626833578900 is a wasteful number, since it uses less digits than its factorization.

4626833578900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13370 (or 13363 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 4626833578900 in words is "four trillion, six hundred twenty-six billion, eight hundred thirty-three million, five hundred seventy-eight thousand, nine hundred".