8290134720 has 672 divisors, whose sum is σ = 35832775680. Its totient is φ = 1715281920.

The previous prime is 8290134719. The next prime is 8290134763. The reversal of 8290134720 is 274310928.

8290134720 is a `hidden beast` number, since 8 + 290 + 1 + 347 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8809450 + ... + 8810390.

Almost surely, 2^8290134720 is an apocalyptic number.

8290134720 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 8290134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17916387840).

8290134720 is an abundant number, since it is smaller than the sum of its proper divisors (27542640960).

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

8290134720 is a wasteful number, since it uses less digits than its factorization.

8290134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8290134720 is about 91050.1769355777. The cubic root of 8290134720 is about 2023.8913584038.

The spelling of 8290134720 in words is "eight billion, two hundred ninety million, one hundred thirty-four thousand, seven hundred twenty".