6461538585600 has 1584 divisors, whose sum is σ = 25815428504448. Its totient is φ = 1420213616640.

The previous prime is 6461538585563. The next prime is 6461538585613. The reversal of 6461538585600 is 65858351646.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11812684527 + ... + 11812685073.

Almost surely, 2^{6461538585600} is an apocalyptic number.

6461538585600 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 6461538585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907714252224).

6461538585600 is an abundant number, since it is smaller than the sum of its proper divisors (19353889918848).

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

6461538585600 is a wasteful number, since it uses less digits than its factorization.

6461538585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 6461538585600 in words is "six trillion, four hundred sixty-one billion, five hundred thirty-eight million, five hundred eighty-five thousand, six hundred".