8672572599264 has 216 divisors, whose sum is σ = 28694145517128. Its totient is φ = 2477449013760.

The previous prime is 8672572599247. The next prime is 8672572599329. The reversal of 8672572599264 is 4629952752768.

8672572599264 is a `hidden beast` number, since 8 + 6 + 7 + 2 + 5 + 7 + 2 + 599 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8672572599192 and 8672572599201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86470554 + ... + 86570790.

It is an arithmetic number, because the mean of its divisors is an integer number (132843266283).

Almost surely, 2^{8672572599264} is an apocalyptic number.

8672572599264 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 8672572599264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14347072758564).

8672572599264 is an abundant number, since it is smaller than the sum of its proper divisors (20021572917864).

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

8672572599264 is a wasteful number, since it uses less digits than its factorization.

8672572599264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106398 (or 106380 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 8672572599264 in words is "eight trillion, six hundred seventy-two billion, five hundred seventy-two million, five hundred ninety-nine thousand, two hundred sixty-four".