26747200480 has 768 divisors, whose sum is σ = 90860507136. Its totient is φ = 7169310720.

The previous prime is 26747200471. The next prime is 26747200481. The reversal of 26747200480 is 8400274762.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26747200481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 195234972 + ... + 195235108.

It is an arithmetic number, because the mean of its divisors is an integer number (118307952).

Almost surely, 2^26747200480 is an apocalyptic number.

26747200480 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 26747200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45430253568).

26747200480 is an abundant number, since it is smaller than the sum of its proper divisors (64113306656).

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

26747200480 is a wasteful number, since it uses less digits than its factorization.

26747200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 26747200480 in words is "twenty-six billion, seven hundred forty-seven million, two hundred thousand, four hundred eighty".