7000261632 has 528 divisors, whose sum is σ = 26394705792. Its totient is φ = 1734082560.

The previous prime is 7000261591. The next prime is 7000261651. The reversal of 7000261632 is 2361620007.

It is a happy number.

7000261632 is a `hidden beast` number, since 7 + 0 + 0 + 0 + 26 + 1 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7000261596 and 7000261605.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14256907 + ... + 14257397.

Almost surely, 2^7000261632 is an apocalyptic number.

7000261632 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 7000261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197352896).

7000261632 is an abundant number, since it is smaller than the sum of its proper divisors (19394444160).

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

7000261632 is a wasteful number, since it uses less digits than its factorization.

7000261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7000261632 is about 83667.5661890556. The cubic root of 7000261632 is about 1912.9550150474.

Adding to 7000261632 its reverse (2361620007), we get a palindrome (9361881639).

The spelling of 7000261632 in words is "seven billion, two hundred sixty-one thousand, six hundred thirty-two".