8480326410000 has 675 divisors, whose sum is σ = 31559340725913. Its totient is φ = 2124668160000.

The previous prime is 8480326409977. The next prime is 8480326410013. The reversal of 8480326410000 is 146230848.

The square root of 8480326410000 is 2912100.

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

8480326410000 is a `hidden beast` number, since 8 + 4 + 8 + 0 + 3 + 2 + 641 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4141404081936 + 4338922328064 = 2035044^2 + 2083008^2 .

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 134 ways as a sum of consecutive naturals, for example, 14851709715 + ... + 14851710285.

Almost surely, 2^{8480326410000} is an apocalyptic number.

8480326410000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8480326410000 is the 2912100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8480326410000

8480326410000 is an abundant number, since it is smaller than the sum of its proper divisors (23079014315913).

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

8480326410000 is an equidigital number, since it uses as much as digits as its factorization.

8480326410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 8480326410000 by its sum of digits (36), we get a square (305291750760000 = 17472600²).

8480326410000 divided by its sum of digits (36) gives a square (235564622500 = 485350²).

The spelling of 8480326410000 in words is "eight trillion, four hundred eighty billion, three hundred twenty-six million, four hundred ten thousand".