4611638308800 has 84 divisors (see below), whose sum is σ = 15130016700536. Its totient is φ = 1229770214400.

The previous prime is 4611638308789. The next prime is 4611638308817. The reversal of 4611638308800 is 88038361164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4611638308800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480374191 + ... + 480383790.

Almost surely, 2^{4611638308800} is an apocalyptic number.

4611638308800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4611638308800 is an abundant number, since it is smaller than the sum of its proper divisors (10518378391736).

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

4611638308800 is a wasteful number, since it uses less digits than its factorization.

4611638308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960758006 (or 960757991 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 4611638308800 in words is "four trillion, six hundred eleven billion, six hundred thirty-eight million, three hundred eight thousand, eight hundred".