8276630544 has 480 divisors, whose sum is σ = 29952249600. Its totient is φ = 2154387456.

The previous prime is 8276630543. The next prime is 8276630567. The reversal of 8276630544 is 4450366728.

8276630544 is a `hidden beast` number, since 8 + 2 + 7 + 6 + 630 + 5 + 4 + 4 = 666.

It is a super-2 number, since 2×8276630544² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8276630544.

It is not an unprimeable number, because it can be changed into a prime (8276630543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52717314 + ... + 52717470.

It is an arithmetic number, because the mean of its divisors is an integer number (62400520).

Almost surely, 2^8276630544 is an apocalyptic number.

8276630544 is a gapful number since it is divisible by the number (84) 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 8276630544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976124800).

8276630544 is an abundant number, since it is smaller than the sum of its proper divisors (21675619056).

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

8276630544 is a wasteful number, since it uses less digits than its factorization.

8276630544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 8276630544 is about 90975.9888322188. The cubic root of 8276630544 is about 2022.7918250547.

The spelling of 8276630544 in words is "eight billion, two hundred seventy-six million, six hundred thirty thousand, five hundred forty-four".