26412005664 has 480 divisors, whose sum is σ = 92866435200. Its totient is φ = 7269212160.

The previous prime is 26412005597. The next prime is 26412005671. The reversal of 26412005664 is 46650021462.

26412005664 is a `hidden beast` number, since 2 + 641 + 2 + 0 + 0 + 5 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14055477 + ... + 14057355.

It is an arithmetic number, because the mean of its divisors is an integer number (193471740).

Almost surely, 2^26412005664 is an apocalyptic number.

26412005664 is a gapful number since it is divisible by the number (24) 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 26412005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46433217600).

26412005664 is an abundant number, since it is smaller than the sum of its proper divisors (66454429536).

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

26412005664 is a wasteful number, since it uses less digits than its factorization.

26412005664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 26412005664 in words is "twenty-six billion, four hundred twelve million, five thousand, six hundred sixty-four".