8061448320 has 512 divisors, whose sum is σ = 29963520000. Its totient is φ = 2045952000.

The previous prime is 8061448301. The next prime is 8061448361. The reversal of 8061448320 is 238441608.

8061448320 is a `hidden beast` number, since 8 + 0 + 614 + 4 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 54103606 + ... + 54103754.

It is an arithmetic number, because the mean of its divisors is an integer number (58522500).

Almost surely, 2^8061448320 is an apocalyptic number.

8061448320 is a gapful number since it is divisible by the number (80) 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 8061448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981760000).

8061448320 is an abundant number, since it is smaller than the sum of its proper divisors (21902071680).

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

8061448320 is a wasteful number, since it uses less digits than its factorization.

8061448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8061448320 is about 89785.5685508534. The cubic root of 8061448320 is about 2005.1076382451.

Adding to 8061448320 its reverse (238441608), we get a palindrome (8299889928).

The spelling of 8061448320 in words is "eight billion, sixty-one million, four hundred forty-eight thousand, three hundred twenty".