4779065071872 has 864 divisors, whose sum is σ = 18089552662272. Its totient is φ = 1177491603456.

The previous prime is 4779065071819. The next prime is 4779065071973. The reversal of 4779065071872 is 2781705609774.

4779065071872 is a `hidden beast` number, since 47 + 7 + 9 + 0 + 6 + 507 + 1 + 87 + 2 = 666.

It is a super-2 number, since 2×4779065071872² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 488302563 + ... + 488312349.

It is an arithmetic number, because the mean of its divisors is an integer number (20936982248).

Almost surely, 2^{4779065071872} is an apocalyptic number.

4779065071872 is a gapful number since it is divisible by the number (42) 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 4779065071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9044776331136).

4779065071872 is an abundant number, since it is smaller than the sum of its proper divisors (13310487590400).

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

4779065071872 is a wasteful number, since it uses less digits than its factorization.

4779065071872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9983 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 4779065071872 in words is "four trillion, seven hundred seventy-nine billion, sixty-five million, seventy-one thousand, eight hundred seventy-two".