26628632712 has 320 divisors, whose sum is σ = 86286435840. Its totient is φ = 7595596800.

The previous prime is 26628632699. The next prime is 26628632717. The reversal of 26628632712 is 21723682662.

26628632712 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 8 + 632 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×26628632712² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26628632717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8174188 + ... + 8177444.

It is an arithmetic number, because the mean of its divisors is an integer number (269645112).

Almost surely, 2^26628632712 is an apocalyptic number.

26628632712 is a gapful number since it is divisible by the number (22) 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 26628632712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43143217920).

26628632712 is an abundant number, since it is smaller than the sum of its proper divisors (59657803128).

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

26628632712 is a wasteful number, since it uses less digits than its factorization.

26628632712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3341 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 26628632712 in words is "twenty-six billion, six hundred twenty-eight million, six hundred thirty-two thousand, seven hundred twelve".