4481719680 has 64 divisors (see below), whose sum is σ = 14285487600. Its totient is φ = 1195124736.

The previous prime is 4481719663. The next prime is 4481719687. The reversal of 4481719680 is 869171844.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4481719680² = 40171622580198604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481719687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1165195 + ... + 1169034.

Almost surely, 2^4481719680 is an apocalyptic number.

4481719680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4481719680 is an abundant number, since it is smaller than the sum of its proper divisors (9803767920).

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

4481719680 is a wasteful number, since it uses less digits than its factorization.

4481719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334251 (or 2334239 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 4481719680 is about 66945.6472072681. The cubic root of 4481719680 is about 1648.7250242467.

The spelling of 4481719680 in words is "four billion, four hundred eighty-one million, seven hundred nineteen thousand, six hundred eighty".