8305937640 has 960 divisors, whose sum is σ = 37880472960. Its totient is φ = 1585059840.

The previous prime is 8305937617. The next prime is 8305937641. The reversal of 8305937640 is 467395038.

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

It is not an unprimeable number, because it can be changed into a prime (8305937641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 42162022 + ... + 42162218.

It is an arithmetic number, because the mean of its divisors is an integer number (39458826).

Almost surely, 2^8305937640 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 8305937640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18940236480).

8305937640 is an abundant number, since it is smaller than the sum of its proper divisors (29574535320).

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

8305937640 is a wasteful number, since it uses less digits than its factorization.

8305937640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 8305937640 is about 91136.9169985468. The cubic root of 8305937640 is about 2025.1765442788.

The spelling of 8305937640 in words is "eight billion, three hundred five million, nine hundred thirty-seven thousand, six hundred forty".