8210669376 has 224 divisors, whose sum is σ = 26816677888. Its totient is φ = 2159032320.

The previous prime is 8210669359. The next prime is 8210669407. The reversal of 8210669376 is 6739660128.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 9976101 + ... + 9976923.

It is an arithmetic number, because the mean of its divisors is an integer number (119717312).

Almost surely, 2^8210669376 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 8210669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408338944).

8210669376 is an abundant number, since it is smaller than the sum of its proper divisors (18606008512).

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

8210669376 is a wasteful number, since it uses less digits than its factorization.

8210669376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 8210669376 is about 90612.7440043618. The cubic root of 8210669376 is about 2017.4038942687.

The spelling of 8210669376 in words is "eight billion, two hundred ten million, six hundred sixty-nine thousand, three hundred seventy-six".