8146728576000 has 4224 divisors, whose sum is σ = 38564596482048. Its totient is φ = 1672151040000.

The previous prime is 8146728575989. The next prime is 8146728576013. The reversal of 8146728576000 is 6758276418.

8146728576000 is a `hidden beast` number, since 8 + 1 + 4 + 6 + 7 + 28 + 5 + 7 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 114742655965 + ... + 114742656035.

Almost surely, 2^{8146728576000} is an apocalyptic number.

8146728576000 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 8146728576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282298241024).

8146728576000 is an abundant number, since it is smaller than the sum of its proper divisors (30417867906048).

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

8146728576000 is a wasteful number, since it uses less digits than its factorization.

8146728576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 8146728576000 in words is "eight trillion, one hundred forty-six billion, seven hundred twenty-eight million, five hundred seventy-six thousand".