6725699461080 has 384 divisors, whose sum is σ = 23082323846400. Its totient is φ = 1760825433600.

The previous prime is 6725699461057. The next prime is 6725699461081. The reversal of 6725699461080 is 801649965276.

6725699461080 is a `hidden beast` number, since 6 + 7 + 2 + 5 + 6 + 9 + 9 + 4 + 610 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6725699460999 and 6725699461017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6725699461081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 465085050 + ... + 465099510.

It is an arithmetic number, because the mean of its divisors is an integer number (60110218350).

Almost surely, 2^{6725699461080} is an apocalyptic number.

6725699461080 is a gapful number since it is divisible by the number (60) 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 6725699461080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11541161923200).

6725699461080 is an abundant number, since it is smaller than the sum of its proper divisors (16356624385320).

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

6725699461080 is a wasteful number, since it uses less digits than its factorization.

6725699461080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15357 (or 15341 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 6725699461080 in words is "six trillion, seven hundred twenty-five billion, six hundred ninety-nine million, four hundred sixty-one thousand, eighty".