26746900488 has 240 divisors, whose sum is σ = 95071006800. Its totient is φ = 6947156160.

The previous prime is 26746900487. The next prime is 26746900517. The reversal of 26746900488 is 88400964762.

26746900488 is a `hidden beast` number, since 2 + 6 + 74 + 6 + 90 + 0 + 488 = 666.

It is a super-3 number, since 3×26746900488³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26746900487) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 310983 + ... + 387561.

It is an arithmetic number, because the mean of its divisors is an integer number (396129195).

Almost surely, 2^26746900488 is an apocalyptic number.

26746900488 is a gapful number since it is divisible by the number (28) 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 26746900488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47535503400).

26746900488 is an abundant number, since it is smaller than the sum of its proper divisors (68324106312).

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

26746900488 is a wasteful number, since it uses less digits than its factorization.

26746900488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76622 (or 76602 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 26746900488 in words is "twenty-six billion, seven hundred forty-six million, nine hundred thousand, four hundred eighty-eight".