26364428640 has 576 divisors, whose sum is σ = 104762972160. Its totient is φ = 6181401600.

The previous prime is 26364428599. The next prime is 26364428653. The reversal of 26364428640 is 4682446362.

26364428640 is a `hidden beast` number, since 2 + 6 + 364 + 4 + 286 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16203507 + ... + 16205133.

It is an arithmetic number, because the mean of its divisors is an integer number (181880160).

Almost surely, 2^26364428640 is an apocalyptic number.

26364428640 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 26364428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52381486080).

26364428640 is an abundant number, since it is smaller than the sum of its proper divisors (78398543520).

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

26364428640 is a wasteful number, since it uses less digits than its factorization.

26364428640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 26364428640 in words is "twenty-six billion, three hundred sixty-four million, four hundred twenty-eight thousand, six hundred forty".