8439475968 has 576 divisors, whose sum is σ = 31623459840. Its totient is φ = 2156544000.

The previous prime is 8439475921. The next prime is 8439475981. The reversal of 8439475968 is 8695749348.

8439475968 is a `hidden beast` number, since 8 + 4 + 39 + 4 + 7 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8439475968² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53754546 + ... + 53754702.

It is an arithmetic number, because the mean of its divisors is an integer number (54901840).

Almost surely, 2^8439475968 is an apocalyptic number.

8439475968 is a gapful number since it is divisible by the number (88) 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 8439475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15811729920).

8439475968 is an abundant number, since it is smaller than the sum of its proper divisors (23183983872).

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

8439475968 is a wasteful number, since it uses less digits than its factorization.

8439475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 8439475968 is about 91866.6205321606. The cubic root of 8439475968 is about 2035.9721215930.

The spelling of 8439475968 in words is "eight billion, four hundred thirty-nine million, four hundred seventy-five thousand, nine hundred sixty-eight".