6413070127680 has 560 divisors, whose sum is σ = 24571596962880. Its totient is φ = 1582461038592.

The previous prime is 6413070127649. The next prime is 6413070127687. The reversal of 6413070127680 is 867210703146.

It is a super-2 number, since 2×6413070127680² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6413070127687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21025222 + ... + 21328058.

Almost surely, 2^{6413070127680} is an apocalyptic number.

6413070127680 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 6413070127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285798481440).

6413070127680 is an abundant number, since it is smaller than the sum of its proper divisors (18158526835200).

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

6413070127680 is a wasteful number, since it uses less digits than its factorization.

6413070127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302928 (or 302909 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 6413070127680 in words is "six trillion, four hundred thirteen billion, seventy million, one hundred twenty-seven thousand, six hundred eighty".