8472510627840 has 2304 divisors, whose sum is σ = 36614545007040. Its totient is φ = 1872809164800.

The previous prime is 8472510627799. The next prime is 8472510627851. The reversal of 8472510627840 is 487260152748.

8472510627840 is a `hidden beast` number, since 8 + 4 + 7 + 2 + 5 + 1 + 0 + 627 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83886243790 + ... + 83886243890.

Almost surely, 2^{8472510627840} is an apocalyptic number.

8472510627840 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 8472510627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18307272503520).

8472510627840 is an abundant number, since it is smaller than the sum of its proper divisors (28142034379200).

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

8472510627840 is an equidigital number, since it uses as much as digits as its factorization.

8472510627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 8472510627840 in words is "eight trillion, four hundred seventy-two billion, five hundred ten million, six hundred twenty-seven thousand, eight hundred forty".