7001086632 has 64 divisors (see below), whose sum is σ = 17864362560. Its totient is φ = 2285798400.

The previous prime is 7001086621. The next prime is 7001086639. The reversal of 7001086632 is 2366801007.

It is a junction number, because it is equal to n+sod(n) for n = 7001086593 and 7001086602.

It is not an unprimeable number, because it can be changed into a prime (7001086639) 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, 342903 + ... + 362745.

It is an arithmetic number, because the mean of its divisors is an integer number (279130665).

Almost surely, 2^7001086632 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 7001086632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8932181280).

7001086632 is an abundant number, since it is smaller than the sum of its proper divisors (10863275928).

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

7001086632 is a wasteful number, since it uses less digits than its factorization.

7001086632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20154 (or 20150 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 7001086632 is about 83672.4962696823. The cubic root of 7001086632 is about 1913.0301610909.

Adding to 7001086632 its reverse (2366801007), we get a palindrome (9367887639).

The spelling of 7001086632 in words is "seven billion, one million, eighty-six thousand, six hundred thirty-two".