26964406560 has 384 divisors, whose sum is σ = 106320936960. Its totient is φ = 5592231936.

The previous prime is 26964406507. The next prime is 26964406561. The reversal of 26964406560 is 6560446962.

It is a super-2 number, since 2×26964406560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (26964406561) 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 63 ways as a sum of consecutive naturals, for example, 2571889 + ... + 2582351.

It is an arithmetic number, because the mean of its divisors is an integer number (276877440).

Almost surely, 2^26964406560 is an apocalyptic number.

26964406560 is a gapful number since it is divisible by the number (20) 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 26964406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53160468480).

26964406560 is an abundant number, since it is smaller than the sum of its proper divisors (79356530400).

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

26964406560 is a wasteful number, since it uses less digits than its factorization.

26964406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 26964406560 in words is "twenty-six billion, nine hundred sixty-four million, four hundred six thousand, five hundred sixty".