8069293440 has 512 divisors, whose sum is σ = 32602953600. Its totient is φ = 1868562432.

The previous prime is 8069293433. The next prime is 8069293447. The reversal of 8069293440 is 443929608.

It is an interprime number because it is at equal distance from previous prime (8069293433) and next prime (8069293447).

It is a super-2 number, since 2×8069293440² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8069293447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3817824 + ... + 3819936.

Almost surely, 2^8069293440 is an apocalyptic number.

8069293440 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 8069293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16301476800).

8069293440 is an abundant number, since it is smaller than the sum of its proper divisors (24533660160).

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

8069293440 is a wasteful number, since it uses less digits than its factorization.

8069293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 8069293440 is about 89829.2460170962. The cubic root of 8069293440 is about 2005.7578609445.

The spelling of 8069293440 in words is "eight billion, sixty-nine million, two hundred ninety-three thousand, four hundred forty".