25467678720 has 832 divisors, whose sum is σ = 101909145600. Its totient is φ = 5980815360.

The previous prime is 25467678697. The next prime is 25467678727. The reversal of 25467678720 is 2787676452.

25467678720 is a `hidden beast` number, since 2 + 546 + 7 + 6 + 78 + 7 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25467678727) 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 63 ways as a sum of consecutive naturals, for example, 322375641 + ... + 322375719.

Almost surely, 2^25467678720 is an apocalyptic number.

25467678720 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 25467678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50954572800).

25467678720 is an abundant number, since it is smaller than the sum of its proper divisors (76441466880).

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

25467678720 is a wasteful number, since it uses less digits than its factorization.

25467678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 25467678720 in words is "twenty-five billion, four hundred sixty-seven million, six hundred seventy-eight thousand, seven hundred twenty".