8449978760 has 64 divisors (see below), whose sum is σ = 19641484800. Its totient is φ = 3268339200.

The previous prime is 8449978753. The next prime is 8449978793. The reversal of 8449978760 is 678799448.

It is a super-2 number, since 2×8449978760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 8449978693 and 8449978702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2392676 + ... + 2396204.

It is an arithmetic number, because the mean of its divisors is an integer number (306898200).

Almost surely, 2^8449978760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8449978760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820742400).

8449978760 is an abundant number, since it is smaller than the sum of its proper divisors (11191506040).

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

8449978760 is a wasteful number, since it uses less digits than its factorization.

8449978760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 62.

The square root of 8449978760 is about 91923.7660238091. The cubic root of 8449978760 is about 2036.8163496584.

The spelling of 8449978760 in words is "eight billion, four hundred forty-nine million, nine hundred seventy-eight thousand, seven hundred sixty".