26631807480 has 512 divisors, whose sum is σ = 94842316800. Its totient is φ = 6638284800.

The previous prime is 26631807469. The next prime is 26631807491. The reversal of 26631807480 is 8470813662.

26631807480 is a `hidden beast` number, since 2 + 6 + 631 + 8 + 0 + 7 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26631807469) and next prime (26631807491).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135186742 + ... + 135186938.

It is an arithmetic number, because the mean of its divisors is an integer number (185238900).

Almost surely, 2^26631807480 is an apocalyptic number.

26631807480 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 26631807480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47421158400).

26631807480 is an abundant number, since it is smaller than the sum of its proper divisors (68210509320).

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

26631807480 is a wasteful number, since it uses less digits than its factorization.

26631807480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26631807480 in words is "twenty-six billion, six hundred thirty-one million, eight hundred seven thousand, four hundred eighty".