4779105803010 has 896 divisors, whose sum is σ = 16499718144000. Its totient is φ = 987545623680.

The previous prime is 4779105803009. The next prime is 4779105803023. The reversal of 4779105803010 is 103085019774.

4779105803010 is a `hidden beast` number, since 47 + 7 + 9 + 10 + 580 + 3 + 0 + 10 = 666.

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 447 ways as a sum of consecutive naturals, for example, 6573735267 + ... + 6573735993.

It is an arithmetic number, because the mean of its divisors is an integer number (18414864000).

Almost surely, 2^{4779105803010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4779105803010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249859072000).

4779105803010 is an abundant number, since it is smaller than the sum of its proper divisors (11720612340990).

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

4779105803010 is a wasteful number, since it uses less digits than its factorization.

4779105803010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 4779105803010 in words is "four trillion, seven hundred seventy-nine billion, one hundred five million, eight hundred three thousand, ten".