26678646624 has 288 divisors, whose sum is σ = 88528204800. Its totient is φ = 6987617280.

The previous prime is 26678646619. The next prime is 26678646637. The reversal of 26678646624 is 42664687662.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

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, 2765842 + ... + 2775470.

It is an arithmetic number, because the mean of its divisors is an integer number (307389600).

Almost surely, 2^26678646624 is an apocalyptic number.

26678646624 is a gapful number since it is divisible by the number (24) 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 26678646624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44264102400).

26678646624 is an abundant number, since it is smaller than the sum of its proper divisors (61849558176).

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

26678646624 is a wasteful number, since it uses less digits than its factorization.

26678646624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 9691 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 57.

The spelling of 26678646624 in words is "twenty-six billion, six hundred seventy-eight million, six hundred forty-six thousand, six hundred twenty-four".