6613415409600 has 252 divisors, whose sum is σ = 23522394529920. Its totient is φ = 1762320384000.

The previous prime is 6613415409571. The next prime is 6613415409631. The reversal of 6613415409600 is 69045143166.

6613415409600 is a `hidden beast` number, since 6 + 6 + 1 + 3 + 41 + 540 + 9 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20126625 + ... + 20452575.

Almost surely, 2^{6613415409600} is an apocalyptic number.

6613415409600 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 6613415409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761197264960).

6613415409600 is an abundant number, since it is smaller than the sum of its proper divisors (16908979120320).

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

6613415409600 is a wasteful number, since it uses less digits than its factorization.

6613415409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327388 (or 327370 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 6613415409600 in words is "six trillion, six hundred thirteen billion, four hundred fifteen million, four hundred nine thousand, six hundred".