4779810604800 has 5184 divisors, whose sum is σ = 24374964902400. Its totient is φ = 902961561600.

The previous prime is 4779810604799. The next prime is 4779810604823. The reversal of 4779810604800 is 84060189774.

It is a happy number.

4779810604800 is a `hidden beast` number, since 4 + 7 + 7 + 98 + 10 + 60 + 480 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 65476857564 + ... + 65476857636.

Almost surely, 2^{4779810604800} is an apocalyptic number.

4779810604800 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 4779810604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12187482451200).

4779810604800 is an abundant number, since it is smaller than the sum of its proper divisors (19595154297600).

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

4779810604800 is a wasteful number, since it uses less digits than its factorization.

4779810604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4779810604800 in words is "four trillion, seven hundred seventy-nine billion, eight hundred ten million, six hundred four thousand, eight hundred".