7132456320 has 256 divisors, whose sum is σ = 25015426560. Its totient is φ = 1728460800.

The previous prime is 7132456319. The next prime is 7132456321. The reversal of 7132456320 is 236542317.

It is an interprime number because it is at equal distance from previous prime (7132456319) and next prime (7132456321).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7132456321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2554125 + ... + 2556915.

It is an arithmetic number, because the mean of its divisors is an integer number (97716510).

Almost surely, 2^7132456320 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 7132456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507713280).

7132456320 is an abundant number, since it is smaller than the sum of its proper divisors (17882970240).

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

7132456320 is a wasteful number, since it uses less digits than its factorization.

7132456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 7132456320 is about 84453.8709592402. The cubic root of 7132456320 is about 1924.9215750363.

Adding to 7132456320 its reverse (236542317), we get a palindrome (7368998637).

The spelling of 7132456320 in words is "seven billion, one hundred thirty-two million, four hundred fifty-six thousand, three hundred twenty".