26649701568 has 672 divisors, whose sum is σ = 100335283200. Its totient is φ = 6770221056.

The previous prime is 26649701567. The next prime is 26649701579. The reversal of 26649701568 is 86510794662.

26649701568 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 9 + 70 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26649701567) 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, 74232973 + ... + 74233331.

Almost surely, 2^26649701568 is an apocalyptic number.

26649701568 is a gapful number since it is divisible by the number (28) 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 26649701568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50167641600).

26649701568 is an abundant number, since it is smaller than the sum of its proper divisors (73685581632).

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

26649701568 is a wasteful number, since it uses less digits than its factorization.

26649701568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 26649701568 in words is "twenty-six billion, six hundred forty-nine million, seven hundred one thousand, five hundred sixty-eight".