12629234640 has 480 divisors, whose sum is σ = 46357032960. Its totient is φ = 2832952320.

The previous prime is 12629234587. The next prime is 12629234641. The reversal of 12629234640 is 4643292621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12629234641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25932477 + ... + 25932963.

It is an arithmetic number, because the mean of its divisors is an integer number (96577152).

Almost surely, 2^12629234640 is an apocalyptic number.

12629234640 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 12629234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23178516480).

12629234640 is an abundant number, since it is smaller than the sum of its proper divisors (33727798320).

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

12629234640 is a wasteful number, since it uses less digits than its factorization.

12629234640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 12629234640 in words is "twelve billion, six hundred twenty-nine million, two hundred thirty-four thousand, six hundred forty".