6638461925760 has 768 divisors, whose sum is σ = 26888963212800. Its totient is φ = 1477867438080.

The previous prime is 6638461925749. The next prime is 6638461925773. The reversal of 6638461925760 is 675291648366.

6638461925760 is a `hidden beast` number, since 6 + 6 + 3 + 8 + 4 + 619 + 2 + 5 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240414355 + ... + 240441965.

It is an arithmetic number, because the mean of its divisors is an integer number (35011670850).

It is a 1-persistent number, because it is pandigital, but 2⋅6638461925760 = 13276923851520 is not.

Almost surely, 2^{6638461925760} is an apocalyptic number.

6638461925760 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 6638461925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444481606400).

6638461925760 is an abundant number, since it is smaller than the sum of its proper divisors (20250501287040).

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

6638461925760 is a wasteful number, since it uses less digits than its factorization.

6638461925760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27799 (or 27784 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 6638461925760 in words is "six trillion, six hundred thirty-eight billion, four hundred sixty-one million, nine hundred twenty-five thousand, seven hundred sixty".