4476880279872 has 2240 divisors, whose sum is σ = 19866772316160. Its totient is φ = 956709273600.

The previous prime is 4476880279871. The next prime is 4476880279981. The reversal of 4476880279872 is 2789720886744.

It is a happy number.

4476880279872 is a `hidden beast` number, since 4 + 476 + 8 + 8 + 0 + 2 + 79 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4476880279872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4476880279871) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 1676105097 + ... + 1676107767.

It is an arithmetic number, because the mean of its divisors is an integer number (8869094784).

Almost surely, 2^{4476880279872} is an apocalyptic number.

4476880279872 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 4476880279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933386158080).

4476880279872 is an abundant number, since it is smaller than the sum of its proper divisors (15389892036288).

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

4476880279872 is a wasteful number, since it uses less digits than its factorization.

4476880279872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 4476880279872 in words is "four trillion, four hundred seventy-six billion, eight hundred eighty million, two hundred seventy-nine thousand, eight hundred seventy-two".