26464417000 has 256 divisors, whose sum is σ = 72419443200. Its totient is φ = 8865331200.

The previous prime is 26464416973. The next prime is 26464417027. The reversal of 26464417000 is 71446462.

It is an interprime number because it is at equal distance from previous prime (26464416973) and next prime (26464417027).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66660802 + ... + 66661198.

It is an arithmetic number, because the mean of its divisors is an integer number (282888450).

Almost surely, 2^26464417000 is an apocalyptic number.

26464417000 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 26464417000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36209721600).

26464417000 is an abundant number, since it is smaller than the sum of its proper divisors (45955026200).

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

26464417000 is a wasteful number, since it uses less digits than its factorization.

26464417000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 26464417000 in words is "twenty-six billion, four hundred sixty-four million, four hundred seventeen thousand".