7947085477100 has 864 divisors, whose sum is σ = 23878621670400. Its totient is φ = 2260887552000.

The previous prime is 7947085477087. The next prime is 7947085477169. The reversal of 7947085477100 is 17745807497.

It is a self number, because there is not a number n which added to its sum of digits gives 7947085477100.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7476091169 + ... + 7476092231.

It is an arithmetic number, because the mean of its divisors is an integer number (27637293600).

Almost surely, 2^{7947085477100} is an apocalyptic number.

7947085477100 is a gapful number since it is divisible by the number (70) 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 7947085477100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11939310835200).

7947085477100 is an abundant number, since it is smaller than the sum of its proper divisors (15931536193300).

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

7947085477100 is a wasteful number, since it uses less digits than its factorization.

7947085477100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 59.

The spelling of 7947085477100 in words is "seven trillion, nine hundred forty-seven billion, eighty-five million, four hundred seventy-seven thousand, one hundred".