26734861440 has 768 divisors, whose sum is σ = 111450193920. Its totient is φ = 5773565952.

The previous prime is 26734861379. The next prime is 26734861459. The reversal of 26734861440 is 4416843762.

26734861440 is a `hidden beast` number, since 26 + 7 + 3 + 4 + 8 + 614 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117774607 + ... + 117774833.

It is an arithmetic number, because the mean of its divisors is an integer number (145117440).

Almost surely, 2^26734861440 is an apocalyptic number.

26734861440 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 26734861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55725096960).

26734861440 is an abundant number, since it is smaller than the sum of its proper divisors (84715332480).

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

26734861440 is a wasteful number, since it uses less digits than its factorization.

26734861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 26734861440 in words is "twenty-six billion, seven hundred thirty-four million, eight hundred sixty-one thousand, four hundred forty".