6617151364096 has 704 divisors, whose sum is σ = 17951173115904. Its totient is φ = 2363306803200.

The previous prime is 6617151364073. The next prime is 6617151364133. The reversal of 6617151364096 is 6904631517166.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6236711406 + ... + 6236712466.

Almost surely, 2^{6617151364096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6617151364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8975586557952).

6617151364096 is an abundant number, since it is smaller than the sum of its proper divisors (11334021751808).

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

6617151364096 is a wasteful number, since it uses less digits than its factorization.

6617151364096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 6617151364096 in words is "six trillion, six hundred seventeen billion, one hundred fifty-one million, three hundred sixty-four thousand, ninety-six".