10634626640 has 80 divisors (see below), whose sum is σ = 26992218816. Its totient is φ = 3864422400.

The previous prime is 10634626637. The next prime is 10634626661. The reversal of 10634626640 is 4662643601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10634626640² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10634626594 and 10634626603.

It is a congruent number.

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, 1590344 + ... + 1597016.

Almost surely, 2^10634626640 is an apocalyptic number.

10634626640 is a gapful number since it is divisible by the number (10) 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 10634626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13496109408).

10634626640 is an abundant number, since it is smaller than the sum of its proper divisors (16357592176).

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

10634626640 is a wasteful number, since it uses less digits than its factorization.

10634626640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8508 (or 8502 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 10634626640 in words is "ten billion, six hundred thirty-four million, six hundred twenty-six thousand, six hundred forty".