4477631860512 has 192 divisors, whose sum is σ = 13460820952320. Its totient is φ = 1447397683200.

The previous prime is 4477631860447. The next prime is 4477631860517. The reversal of 4477631860512 is 2150681367744.

4477631860512 is a `hidden beast` number, since 4 + 4 + 7 + 7 + 6 + 3 + 18 + 605 + 12 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4477631860517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3143688 + ... + 4340280.

It is an arithmetic number, because the mean of its divisors is an integer number (70108442460).

Almost surely, 2^{4477631860512} 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 4477631860512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730410476160).

4477631860512 is an abundant number, since it is smaller than the sum of its proper divisors (8983189091808).

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

4477631860512 is a wasteful number, since it uses less digits than its factorization.

4477631860512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196744 (or 1196730 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 4477631860512 in words is "four trillion, four hundred seventy-seven billion, six hundred thirty-one million, eight hundred sixty thousand, five hundred twelve".