8495126640 has 640 divisors, whose sum is σ = 39297484800. Its totient is φ = 1629020160.

The previous prime is 8495126611. The next prime is 8495126681. The reversal of 8495126640 is 466215948.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2160196 + ... + 2164124.

It is an arithmetic number, because the mean of its divisors is an integer number (61402320).

Almost surely, 2^8495126640 is an apocalyptic number.

8495126640 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 8495126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648742400).

8495126640 is an abundant number, since it is smaller than the sum of its proper divisors (30802358160).

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

8495126640 is a wasteful number, since it uses less digits than its factorization.

8495126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8495126640 is about 92169.0112781948. The cubic root of 8495126640 is about 2040.4374494410.

The spelling of 8495126640 in words is "eight billion, four hundred ninety-five million, one hundred twenty-six thousand, six hundred forty".