8164187640 has 896 divisors, whose sum is σ = 34449960960. Its totient is φ = 1699771392.

The previous prime is 8164187623. The next prime is 8164187671. The reversal of 8164187640 is 467814618.

It is a super-2 number, since 2×8164187640² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 173706097 + ... + 173706143.

Almost surely, 2^8164187640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8164187640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17224980480).

8164187640 is an abundant number, since it is smaller than the sum of its proper divisors (26285773320).

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

8164187640 is a wasteful number, since it uses less digits than its factorization.

8164187640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8164187640 is about 90355.8943290364. The cubic root of 8164187640 is about 2013.5897534855.

The spelling of 8164187640 in words is "eight billion, one hundred sixty-four million, one hundred eighty-seven thousand, six hundred forty".