8445265920 has 1152 divisors, whose sum is σ = 38635833600. Its totient is φ = 1656225792.

The previous prime is 8445265903. The next prime is 8445265931. The reversal of 8445265920 is 295625448.

8445265920 is a `hidden beast` number, since 8 + 4 + 4 + 52 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159344614 + ... + 159344666.

It is an arithmetic number, because the mean of its divisors is an integer number (33538050).

Almost surely, 2^8445265920 is an apocalyptic number.

8445265920 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 8445265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19317916800).

8445265920 is an abundant number, since it is smaller than the sum of its proper divisors (30190567680).

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

8445265920 is a wasteful number, since it uses less digits than its factorization.

8445265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8445265920 is about 91898.1279461122. The cubic root of 8445265920 is about 2036.4376120312.

The spelling of 8445265920 in words is "eight billion, four hundred forty-five million, two hundred sixty-five thousand, nine hundred twenty".