8067995040 has 576 divisors, whose sum is σ = 31020724224. Its totient is φ = 1755758592.

The previous prime is 8067995017. The next prime is 8067995051. The reversal of 8067995040 is 405997608.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 63527457 + ... + 63527583.

It is an arithmetic number, because the mean of its divisors is an integer number (53855424).

Almost surely, 2^8067995040 is an apocalyptic number.

8067995040 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 8067995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15510362112).

8067995040 is an abundant number, since it is smaller than the sum of its proper divisors (22952729184).

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

8067995040 is a wasteful number, since it uses less digits than its factorization.

8067995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 8067995040 is about 89822.0186813901. The cubic root of 8067995040 is about 2005.6502754944.

The spelling of 8067995040 in words is "eight billion, sixty-seven million, nine hundred ninety-five thousand, forty".