8264365930080 has 768 divisors, whose sum is σ = 32430705350400. Its totient is φ = 1951586058240.

The previous prime is 8264365930039. The next prime is 8264365930091. The reversal of 8264365930080 is 800395634628.

8264365930080 is a `hidden beast` number, since 8 + 2 + 6 + 43 + 6 + 593 + 0 + 0 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8264365929999 and 8264365930026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 255680320 + ... + 255712640.

It is an arithmetic number, because the mean of its divisors is an integer number (42227480925).

Almost surely, 2^{8264365930080} is an apocalyptic number.

8264365930080 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 8264365930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215352675200).

8264365930080 is an abundant number, since it is smaller than the sum of its proper divisors (24166339420320).

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

8264365930080 is a wasteful number, since it uses less digits than its factorization.

8264365930080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32544 (or 32530 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 8264365930080 in words is "eight trillion, two hundred sixty-four billion, three hundred sixty-five million, nine hundred thirty thousand, eighty".