4975447680 has 320 divisors, whose sum is σ = 20308020480. Its totient is φ = 1137162240.

The previous prime is 4975447667. The next prime is 4975447721. The reversal of 4975447680 is 867445794.

4975447680 is a `hidden beast` number, since 4 + 97 + 5 + 4 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

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 39 ways as a sum of consecutive naturals, for example, 356025 + ... + 369735.

It is an arithmetic number, because the mean of its divisors is an integer number (63462564).

Almost surely, 2^4975447680 is an apocalyptic number.

4975447680 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 4975447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10154010240).

4975447680 is an abundant number, since it is smaller than the sum of its proper divisors (15332572800).

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

4975447680 is a wasteful number, since it uses less digits than its factorization.

4975447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13749 (or 13728 counting only the distinct ones).

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

The square root of 4975447680 is about 70536.8533463182. The cubic root of 4975447680 is about 1707.1724276882.

The spelling of 4975447680 in words is "four billion, nine hundred seventy-five million, four hundred forty-seven thousand, six hundred eighty".