6461582916600 has 1536 divisors, whose sum is σ = 27987542016000. Its totient is φ = 1353686515200.

The previous prime is 6461582916577. The next prime is 6461582916671. The reversal of 6461582916600 is 66192851646.

6461582916600 is a `hidden beast` number, since 6 + 4 + 6 + 1 + 5 + 8 + 29 + 1 + 6 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1803398409 + ... + 1803401991.

It is an arithmetic number, because the mean of its divisors is an integer number (18221056000).

Almost surely, 2^{6461582916600} is an apocalyptic number.

6461582916600 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 6461582916600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13993771008000).

6461582916600 is an abundant number, since it is smaller than the sum of its proper divisors (21525959099400).

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

6461582916600 is a wasteful number, since it uses less digits than its factorization.

6461582916600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 6461582916600 in words is "six trillion, four hundred sixty-one billion, five hundred eighty-two million, nine hundred sixteen thousand, six hundred".