12722635464 has 256 divisors, whose sum is σ = 40343961600. Its totient is φ = 3247776000.

The previous prime is 12722635441. The next prime is 12722635469. The reversal of 12722635464 is 46453622721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12722635469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35438917 + ... + 35439275.

It is an arithmetic number, because the mean of its divisors is an integer number (157593600).

Almost surely, 2^12722635464 is an apocalyptic number.

12722635464 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 12722635464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20171980800).

12722635464 is an abundant number, since it is smaller than the sum of its proper divisors (27621326136).

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

12722635464 is a wasteful number, since it uses less digits than its factorization.

12722635464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The spelling of 12722635464 in words is "twelve billion, seven hundred twenty-two million, six hundred thirty-five thousand, four hundred sixty-four".