7136733886464 has 1152 divisors, whose sum is σ = 25046587238400. Its totient is φ = 1788830023680.

The previous prime is 7136733886417. The next prime is 7136733886489. The reversal of 7136733886464 is 4646883376317.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7136733886395 and 7136733886404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7158208014 + ... + 7158209010.

It is an arithmetic number, because the mean of its divisors is an integer number (21741829200).

Almost surely, 2^{7136733886464} 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 7136733886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523293619200).

7136733886464 is an abundant number, since it is smaller than the sum of its proper divisors (17909853351936).

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

7136733886464 is a wasteful number, since it uses less digits than its factorization.

7136733886464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1112 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 66.

The spelling of 7136733886464 in words is "seven trillion, one hundred thirty-six billion, seven hundred thirty-three million, eight hundred eighty-six thousand, four hundred sixty-four".