8647128360000 has 1575 divisors, whose sum is σ = 34749663861341. Its totient is φ = 2055126528000.

The previous prime is 8647128359963. The next prime is 8647128360061. The reversal of 8647128360000 is 638217468.

The square root of 8647128360000 is 2940600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 37 ways, for example, as 551145881664 + 8095982478336 = 742392^2 + 2845344^2 .

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 224 ways as a sum of consecutive naturals, for example, 298176839986 + ... + 298176840014.

Almost surely, 2^{8647128360000} is an apocalyptic number.

8647128360000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8647128360000 is the 2940600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8647128360000

8647128360000 is an abundant number, since it is smaller than the sum of its proper divisors (26102535501341).

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

8647128360000 is an frugal number, since it uses more digits than its factorization.

8647128360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 8647128360000 in words is "eight trillion, six hundred forty-seven billion, one hundred twenty-eight million, three hundred sixty thousand".