7134505632 has 72 divisors (see below), whose sum is σ = 20373837120. Its totient is φ = 2368195200.

The previous prime is 7134505607. The next prime is 7134505639. The reversal of 7134505632 is 2365054317.

7134505632 is a `hidden beast` number, since 7 + 13 + 4 + 5 + 0 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7134505632² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7134505639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17007 + ... + 120657.

It is an arithmetic number, because the mean of its divisors is an integer number (282969960).

Almost surely, 2^7134505632 is an apocalyptic number.

7134505632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7134505632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10186918560).

7134505632 is an abundant number, since it is smaller than the sum of its proper divisors (13239331488).

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

7134505632 is a wasteful number, since it uses less digits than its factorization.

7134505632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103906 (or 103895 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 7134505632 is about 84466.0028177018. The cubic root of 7134505632 is about 1925.1059148560.

Adding to 7134505632 its reverse (2365054317), we get a palindrome (9499559949).

The spelling of 7134505632 in words is "seven billion, one hundred thirty-four million, five hundred five thousand, six hundred thirty-two".