25737484968 has 448 divisors, whose sum is σ = 86927601600. Its totient is φ = 7054387200.

The previous prime is 25737484967. The next prime is 25737484991. The reversal of 25737484968 is 86948473752.

25737484968 is a `hidden beast` number, since 2 + 5 + 73 + 74 + 8 + 496 + 8 = 666.

It is a super-2 number, since 2×25737484968² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25737484967) 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 111 ways as a sum of consecutive naturals, for example, 24488043 + ... + 24489093.

It is an arithmetic number, because the mean of its divisors is an integer number (194034825).

Almost surely, 2^25737484968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25737484968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43463800800).

25737484968 is an abundant number, since it is smaller than the sum of its proper divisors (61190116632).

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

25737484968 is a wasteful number, since it uses less digits than its factorization.

25737484968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1105 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 25737484968 in words is "twenty-five billion, seven hundred thirty-seven million, four hundred eighty-four thousand, nine hundred sixty-eight".