26345730432 has 384 divisors, whose sum is σ = 85909524480. Its totient is φ = 7129543680.

The previous prime is 26345730421. The next prime is 26345730449. The reversal of 26345730432 is 23403754362.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×26345730432² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560547433 + ... + 560547479.

It is an arithmetic number, because the mean of its divisors is an integer number (223722720).

Almost surely, 2^26345730432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26345730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42954762240).

26345730432 is an abundant number, since it is smaller than the sum of its proper divisors (59563794048).

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

26345730432 is an frugal number, since it uses more digits than its factorization.

26345730432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 39.

The spelling of 26345730432 in words is "twenty-six billion, three hundred forty-five million, seven hundred thirty thousand, four hundred thirty-two".