7466133136 has 80 divisors (see below), whose sum is σ = 18403286400. Its totient is φ = 2908859520.

The previous prime is 7466133133. The next prime is 7466133167. The reversal of 7466133136 is 6313316647.

It is not an unprimeable number, because it can be changed into a prime (7466133133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471 + ... + 122206.

It is an arithmetic number, because the mean of its divisors is an integer number (230041080).

Almost surely, 2^7466133136 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 7466133136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9201643200).

7466133136 is an abundant number, since it is smaller than the sum of its proper divisors (10937153264).

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

7466133136 is a wasteful number, since it uses less digits than its factorization.

7466133136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123717 (or 123697 counting only the distinct ones).

The product of its digits is 163296, while the sum is 40.

The square root of 7466133136 is about 86406.7887147763. The cubic root of 7466133136 is about 1954.4830570910.

The spelling of 7466133136 in words is "seven billion, four hundred sixty-six million, one hundred thirty-three thousand, one hundred thirty-six".