6413217377760 has 144 divisors (see below), whose sum is σ = 22101789003840. Its totient is φ = 1693258675200.

The previous prime is 6413217377741. The next prime is 6413217377761. The reversal of 6413217377760 is 677737123146.

6413217377760 is a `hidden beast` number, since 6 + 413 + 21 + 73 + 77 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6413217377760² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6413217377697 and 6413217377706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6413217377761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21902200 + ... + 22193079.

It is an arithmetic number, because the mean of its divisors is an integer number (153484645860).

Almost surely, 2^{6413217377760} is an apocalyptic number.

6413217377760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6413217377760 is an abundant number, since it is smaller than the sum of its proper divisors (15688571626080).

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

6413217377760 is a wasteful number, since it uses less digits than its factorization.

6413217377760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44095401 (or 44095390 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 6413217377760 in words is "six trillion, four hundred thirteen billion, two hundred seventeen million, three hundred seventy-seven thousand, seven hundred sixty".