8450128764 has 192 divisors, whose sum is σ = 27516625920. Its totient is φ = 2178524160.

The previous prime is 8450128759. The next prime is 8450128787. The reversal of 8450128764 is 4678210548.

8450128764 is a `hidden beast` number, since 8 + 4 + 501 + 2 + 87 + 64 = 666.

It is a super-2 number, since 2×8450128764² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1135584 + ... + 1143000.

It is an arithmetic number, because the mean of its divisors is an integer number (143315760).

Almost surely, 2^8450128764 is an apocalyptic number.

8450128764 is a gapful number since it is divisible by the number (84) 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 8450128764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13758312960).

8450128764 is an abundant number, since it is smaller than the sum of its proper divisors (19066497156).

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

8450128764 is a wasteful number, since it uses less digits than its factorization.

8450128764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7585 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8450128764 is about 91924.5819354105. The cubic root of 8450128764 is about 2036.8284021066.

It can be divided in two parts, 845012 and 8764, that added together give a square (853776 = 924²).

The spelling of 8450128764 in words is "eight billion, four hundred fifty million, one hundred twenty-eight thousand, seven hundred sixty-four".