8132927040 has 448 divisors, whose sum is σ = 33927897600. Its totient is φ = 1794465792.

The previous prime is 8132927027. The next prime is 8132927063. The reversal of 8132927040 is 407292318.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×8132927040³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 8132926986 and 8132927004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1751602 + ... + 1756238.

Almost surely, 2^8132927040 is an apocalyptic number.

8132927040 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 8132927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963948800).

8132927040 is an abundant number, since it is smaller than the sum of its proper divisors (25794970560).

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

8132927040 is a wasteful number, since it uses less digits than its factorization.

8132927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8132927040 is about 90182.7424732692. The cubic root of 8132927040 is about 2011.0164607146.

The spelling of 8132927040 in words is "eight billion, one hundred thirty-two million, nine hundred twenty-seven thousand, forty".