8382032490276 has 135 divisors (see below), whose sum is σ = 22465496584993. Its totient is φ = 2725169382720.

The previous prime is 8382032490229. The next prime is 8382032490281. The reversal of 8382032490276 is 6720942302838.

The square root of 8382032490276 is 2895174.

It is a perfect power (a square), and thus also a powerful number.

8382032490276 is a `hidden beast` number, since 8 + 3 + 82 + 0 + 3 + 2 + 490 + 2 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 403893296676 + 7978139193600 = 635526^2 + 2824560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2136636451 + ... + 2136640373.

Almost surely, 2^{8382032490276} is an apocalyptic number.

8382032490276 is the 2895174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8382032490276

8382032490276 is an abundant number, since it is smaller than the sum of its proper divisors (14083464094717).

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

8382032490276 is an frugal number, since it uses more digits than its factorization.

8382032490276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7944 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 8382032490276 in words is "eight trillion, three hundred eighty-two billion, thirty-two million, four hundred ninety thousand, two hundred seventy-six".