8127734375040 has 512 divisors, whose sum is σ = 30619023114240. Its totient is φ = 1794560901120.

The previous prime is 8127734375029. The next prime is 8127734375063. The reversal of 8127734375040 is 405734377218.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 232050969 + ... + 232085991.

It is an arithmetic number, because the mean of its divisors is an integer number (59802779520).

Almost surely, 2^{8127734375040} is an apocalyptic number.

8127734375040 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 8127734375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15309511557120).

8127734375040 is an abundant number, since it is smaller than the sum of its proper divisors (22491288739200).

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

8127734375040 is a wasteful number, since it uses less digits than its factorization.

8127734375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35640 (or 35628 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 8127734375040 in words is "eight trillion, one hundred twenty-seven billion, seven hundred thirty-four million, three hundred seventy-five thousand, forty".