7107806464 has 144 divisors (see below), whose sum is σ = 15894144000. Its totient is φ = 3145103360.

The previous prime is 7107806441. The next prime is 7107806467. The reversal of 7107806464 is 4646087017.

It is a self number, because there is not a number n which added to its sum of digits gives 7107806464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7107806467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29739657 + ... + 29739895.

It is an arithmetic number, because the mean of its divisors is an integer number (110376000).

Almost surely, 2^7107806464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7107806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947072000).

7107806464 is an abundant number, since it is smaller than the sum of its proper divisors (8786337536).

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

7107806464 is a wasteful number, since it uses less digits than its factorization.

7107806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 7107806464 is about 84307.8078471976. The cubic root of 7107806464 is about 1922.7014980537.

The spelling of 7107806464 in words is "seven billion, one hundred seven million, eight hundred six thousand, four hundred sixty-four".