6725621760 has 384 divisors, whose sum is σ = 25294913280. Its totient is φ = 1504051200.

The previous prime is 6725621743. The next prime is 6725621789. The reversal of 6725621760 is 671265276.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4392195 + ... + 4393725.

It is an arithmetic number, because the mean of its divisors is an integer number (65872170).

Almost surely, 2^6725621760 is an apocalyptic number.

6725621760 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 6725621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647456640).

6725621760 is an abundant number, since it is smaller than the sum of its proper divisors (18569291520).

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

6725621760 is a wasteful number, since it uses less digits than its factorization.

6725621760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 6725621760 is about 82009.8881842915. Note that the first 3 decimals coincide. The cubic root of 6725621760 is about 1887.6036705188.

The spelling of 6725621760 in words is "six billion, seven hundred twenty-five million, six hundred twenty-one thousand, seven hundred sixty".