6413162267952 has 720 divisors, whose sum is σ = 21414929642496. Its totient is φ = 1774700928000.

The previous prime is 6413162267929. The next prime is 6413162267969. The reversal of 6413162267952 is 2597622613146.

It is a happy number.

6413162267952 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 1 + 622 + 6 + 7 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×6413162267952² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5867485518 + ... + 5867486610.

Almost surely, 2^{6413162267952} is an apocalyptic number.

6413162267952 is a gapful number since it is divisible by the number (62) 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 6413162267952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10707464821248).

6413162267952 is an abundant number, since it is smaller than the sum of its proper divisors (15001767374544).

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

6413162267952 is a wasteful number, since it uses less digits than its factorization.

6413162267952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1490 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 6413162267952 in words is "six trillion, four hundred thirteen billion, one hundred sixty-two million, two hundred sixty-seven thousand, nine hundred fifty-two".