25736071680 has 480 divisors, whose sum is σ = 100862169408. Its totient is φ = 6237388800.

The previous prime is 25736071679. The next prime is 25736071687. The reversal of 25736071680 is 8617063752.

25736071680 is a `hidden beast` number, since 2 + 573 + 6 + 0 + 71 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (25736071687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6841000 + ... + 6844760.

Almost surely, 2^25736071680 is an apocalyptic number.

25736071680 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 25736071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50431084704).

25736071680 is an abundant number, since it is smaller than the sum of its proper divisors (75126097728).

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

25736071680 is an equidigital number, since it uses as much as digits as its factorization.

25736071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 25736071680 in words is "twenty-five billion, seven hundred thirty-six million, seventy-one thousand, six hundred eighty".