4477999680 has 896 divisors, whose sum is σ = 20225064960. Its totient is φ = 905748480.

The previous prime is 4477999679. The next prime is 4477999723. The reversal of 4477999680 is 869997744.

It is a super-2 number, since 2×4477999680² = 40104962268160204800, which 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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35259777 + ... + 35259903.

Almost surely, 2^4477999680 is an apocalyptic number.

4477999680 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 4477999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112532480).

4477999680 is an abundant number, since it is smaller than the sum of its proper divisors (15747065280).

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

4477999680 is a wasteful number, since it uses less digits than its factorization.

4477999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The square root of 4477999680 is about 66917.8577062954. The cubic root of 4477999680 is about 1648.2687295460.

The spelling of 4477999680 in words is "four billion, four hundred seventy-seven million, nine hundred ninety-nine thousand, six hundred eighty".