6409725696000 has 4608 divisors, whose sum is σ = 30135950208000. Its totient is φ = 1337720832000.

The previous prime is 6409725695941. The next prime is 6409725696001. The reversal of 6409725696000 is 6965279046.

6409725696000 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 7 + 25 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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 (6409725696001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 221025023986 + ... + 221025024014.

It is an arithmetic number, because the mean of its divisors is an integer number (6539919750).

Almost surely, 2^{6409725696000} is an apocalyptic number.

6409725696000 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 6409725696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15067975104000).

6409725696000 is an abundant number, since it is smaller than the sum of its proper divisors (23726224512000).

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

6409725696000 is a wasteful number, since it uses less digits than its factorization.

6409725696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 6409725696000 in words is "six trillion, four hundred nine billion, seven hundred twenty-five million, six hundred ninety-six thousand".