10634632624 has 80 divisors (see below), whose sum is σ = 25730138880. Its totient is φ = 4136705280.

The previous prime is 10634632583. The next prime is 10634632639. The reversal of 10634632624 is 42623643601.

It is a happy number.

It is a super-2 number, since 2×10634632624² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797887 + ... + 811105.

It is an arithmetic number, because the mean of its divisors is an integer number (321626736).

Almost surely, 2^10634632624 is an apocalyptic number.

10634632624 is a gapful number since it is divisible by the number (14) 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 10634632624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12865069440).

10634632624 is an abundant number, since it is smaller than the sum of its proper divisors (15095506256).

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

10634632624 is a wasteful number, since it uses less digits than its factorization.

10634632624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13898 (or 13892 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 10634632624 in words is "ten billion, six hundred thirty-four million, six hundred thirty-two thousand, six hundred twenty-four".