8025346560 has 640 divisors, whose sum is σ = 32865896448. Its totient is φ = 1622016000.

The previous prime is 8025346547. The next prime is 8025346561. The reversal of 8025346560 is 656435208.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (8025346561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24245595 + ... + 24245925.

Almost surely, 2^8025346560 is an apocalyptic number.

8025346560 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 8025346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432948224).

8025346560 is an abundant number, since it is smaller than the sum of its proper divisors (24840549888).

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

8025346560 is a wasteful number, since it uses less digits than its factorization.

8025346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 8025346560 is about 89584.2986242567. The cubic root of 8025346560 is about 2002.1099865289.

The spelling of 8025346560 in words is "eight billion, twenty-five million, three hundred forty-six thousand, five hundred sixty".