7132118400 has 576 divisors, whose sum is σ = 28412467200. Its totient is φ = 1688678400.

The previous prime is 7132118359. The next prime is 7132118419. The reversal of 7132118400 is 48112317.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7132118400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14889361 + ... + 14889839.

It is an arithmetic number, because the mean of its divisors is an integer number (49327200).

Almost surely, 2^7132118400 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 7132118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206233600).

7132118400 is an abundant number, since it is smaller than the sum of its proper divisors (21280348800).

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

7132118400 is a wasteful number, since it uses less digits than its factorization.

7132118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7132118400 is about 84451.8703167668. The cubic root of 7132118400 is about 1924.8911750477.

The spelling of 7132118400 in words is "seven billion, one hundred thirty-two million, one hundred eighteen thousand, four hundred".