6335116738560 has 720 divisors, whose sum is σ = 22910979434112. Its totient is φ = 1674628300800.

The previous prime is 6335116738499. The next prime is 6335116738571. The reversal of 6335116738560 is 658376115336.

6335116738560 is a `hidden beast` number, since 6 + 3 + 3 + 5 + 1 + 1 + 6 + 73 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 6335116738497 and 6335116738506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6954024505 + ... + 6954025415.

Almost surely, 2^{6335116738560} is an apocalyptic number.

6335116738560 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 6335116738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11455489717056).

6335116738560 is an abundant number, since it is smaller than the sum of its proper divisors (16575862695552).

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

6335116738560 is an frugal number, since it uses more digits than its factorization.

6335116738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 6335116738560 in words is "six trillion, three hundred thirty-five billion, one hundred sixteen million, seven hundred thirty-eight thousand, five hundred sixty".