6413372897280 has 192 divisors, whose sum is σ = 20521457218080. Its totient is φ = 1709926514688.

The previous prime is 6413372897231. The next prime is 6413372897293. The reversal of 6413372897280 is 827982733146.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6413372897280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 15 ways as a sum of consecutive naturals, for example, 209894484 + ... + 209925036.

Almost surely, 2^{6413372897280} is an apocalyptic number.

6413372897280 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 6413372897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260728609040).

6413372897280 is an abundant number, since it is smaller than the sum of its proper divisors (14108084320800).

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

6413372897280 is a wasteful number, since it uses less digits than its factorization.

6413372897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37416 (or 37396 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 6413372897280 in words is "six trillion, four hundred thirteen billion, three hundred seventy-two million, eight hundred ninety-seven thousand, two hundred eighty".