8161676640 has 480 divisors, whose sum is σ = 31304550816. Its totient is φ = 1990656000.

The previous prime is 8161676573. The next prime is 8161676669. The reversal of 8161676640 is 466761618.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8161676640² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32516515 + ... + 32516765.

Almost surely, 2^8161676640 is an apocalyptic number.

8161676640 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 8161676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15652275408).

8161676640 is an abundant number, since it is smaller than the sum of its proper divisors (23142874176).

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

8161676640 is a wasteful number, since it uses less digits than its factorization.

8161676640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8161676640 is about 90341.9982068141. The cubic root of 8161676640 is about 2013.3832972509.

The spelling of 8161676640 in words is "eight billion, one hundred sixty-one million, six hundred seventy-six thousand, six hundred forty".