8226152064 has 576 divisors, whose sum is σ = 27954201600. Its totient is φ = 2314690560.

The previous prime is 8226152059. The next prime is 8226152089. The reversal of 8226152064 is 4602516228.

It is a happy number.

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

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 71 ways as a sum of consecutive naturals, for example, 175024489 + ... + 175024535.

It is an arithmetic number, because the mean of its divisors is an integer number (48531600).

Almost surely, 2^8226152064 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 8226152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977100800).

8226152064 is an abundant number, since it is smaller than the sum of its proper divisors (19728049536).

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

8226152064 is a wasteful number, since it uses less digits than its factorization.

8226152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8226152064 is about 90698.1370481224. The cubic root of 8226152064 is about 2018.6711568680.

The spelling of 8226152064 in words is "eight billion, two hundred twenty-six million, one hundred fifty-two thousand, sixty-four".