7133480365824 has 144 divisors (see below), whose sum is σ = 21098545322400. Its totient is φ = 2377422249984.

The previous prime is 7133480365783. The next prime is 7133480365829. The reversal of 7133480365824 is 4285630843317.

It is a happy number.

7133480365824 is a `hidden beast` number, since 7 + 13 + 3 + 48 + 0 + 3 + 6 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7133480365829) 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, 42002422 + ... + 42171914.

It is an arithmetic number, because the mean of its divisors is an integer number (146517675850).

Almost surely, 2^{7133480365824} 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 7133480365824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10549272661200).

7133480365824 is an abundant number, since it is smaller than the sum of its proper divisors (13965064956576).

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

7133480365824 is a wasteful number, since it uses less digits than its factorization.

7133480365824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175607 (or 175587 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 7133480365824 in words is "seven trillion, one hundred thirty-three billion, four hundred eighty million, three hundred sixty-five thousand, eight hundred twenty-four".