8127383040 has 720 divisors, whose sum is σ = 34275672288. Its totient is φ = 1771241472.

The previous prime is 8127383029. The next prime is 8127383051. The reversal of 8127383040 is 403837218.

8127383040 is a `hidden beast` number, since 81 + 273 + 8 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8127383029) and next prime (8127383051).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8127382986 and 8127383004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25965924 + ... + 25966236.

Almost surely, 2^8127383040 is an apocalyptic number.

8127383040 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 8127383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17137836144).

8127383040 is an abundant number, since it is smaller than the sum of its proper divisors (26148289248).

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

8127383040 is a wasteful number, since it uses less digits than its factorization.

8127383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8127383040 is about 90151.9996450439. Note that the first 3 decimals coincide. The cubic root of 8127383040 is about 2010.5594047041.

The spelling of 8127383040 in words is "eight billion, one hundred twenty-seven million, three hundred eighty-three thousand, forty".