26292730464 has 1152 divisors, whose sum is σ = 108302261760. Its totient is φ = 6096384000.

The previous prime is 26292730447. The next prime is 26292730481. The reversal of 26292730464 is 46403729262.

26292730464 is a `hidden beast` number, since 262 + 9 + 27 + 304 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (26292730447) and next prime (26292730481).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 260324014 + ... + 260324114.

It is an arithmetic number, because the mean of its divisors is an integer number (94012380).

Almost surely, 2^26292730464 is an apocalyptic number.

26292730464 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 26292730464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54151130880).

26292730464 is an abundant number, since it is smaller than the sum of its proper divisors (82009531296).

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

26292730464 is a wasteful number, since it uses less digits than its factorization.

26292730464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 26292730464 in words is "twenty-six billion, two hundred ninety-two million, seven hundred thirty thousand, four hundred sixty-four".