4450972680 has 768 divisors, whose sum is σ = 19750348800. Its totient is φ = 873400320.

The previous prime is 4450972663. The next prime is 4450972711. The reversal of 4450972680 is 862790544.

It is a happy number.

4450972680 is a `hidden beast` number, since 44 + 509 + 7 + 26 + 80 = 666.

It is a super-2 number, since 2×4450972680² = 39622315596212764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14220204 + ... + 14220516.

It is an arithmetic number, because the mean of its divisors is an integer number (25716600).

Almost surely, 2^4450972680 is an apocalyptic number.

4450972680 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 4450972680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9875174400).

4450972680 is an abundant number, since it is smaller than the sum of its proper divisors (15299376120).

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

4450972680 is a wasteful number, since it uses less digits than its factorization.

4450972680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4450972680 is about 66715.6104671163. The cubic root of 4450972680 is about 1644.9459897333.

The spelling of 4450972680 in words is "four billion, four hundred fifty million, nine hundred seventy-two thousand, six hundred eighty".