266961629629632 has 224 divisors, whose sum is σ = 810724653245952. Its totient is φ = 75946237526016.

The previous prime is 266961629629631. The next prime is 266961629629633. The reversal of 266961629629632 is 236926926169662.

It is an interprime number because it is at equal distance from previous prime (266961629629631) and next prime (266961629629633).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (266961629629631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320774883 + ... + 321606045.

Almost surely, 2^{266961629629632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266961629629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405362326622976).

266961629629632 is an abundant number, since it is smaller than the sum of its proper divisors (543763023616320).

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

266961629629632 is a wasteful number, since it uses less digits than its factorization.

266961629629632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832215 (or 832205 counting only the distinct ones).

The product of its digits is 1632586752, while the sum is 75.

The spelling of 266961629629632 in words is "two hundred sixty-six trillion, nine hundred sixty-one billion, six hundred twenty-nine million, six hundred twenty-nine thousand, six hundred thirty-two".