8234946720 has 1152 divisors, whose sum is σ = 39230231040. Its totient is φ = 1517322240.

The previous prime is 8234946701. The next prime is 8234946739. The reversal of 8234946720 is 276494328.

8234946720 = 4921² + 4922² + ... + 5239².

8234946720 is a `hidden beast` number, since 82 + 3 + 494 + 67 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (8234946701) and next prime (8234946739).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41801662 + ... + 41801858.

It is an arithmetic number, because the mean of its divisors is an integer number (34054020).

Almost surely, 2^8234946720 is an apocalyptic number.

8234946720 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 8234946720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19615115520).

8234946720 is an abundant number, since it is smaller than the sum of its proper divisors (30995284320).

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

8234946720 is a wasteful number, since it uses less digits than its factorization.

8234946720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 8234946720 is about 90746.6072093056. The cubic root of 8234946720 is about 2019.3902940459.

The spelling of 8234946720 in words is "eight billion, two hundred thirty-four million, nine hundred forty-six thousand, seven hundred twenty".