6417914261920 has 432 divisors, whose sum is σ = 18350644170600. Its totient is φ = 2114784645120.

The previous prime is 6417914261917. The next prime is 6417914261981. The reversal of 6417914261920 is 291624197146.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4128975232144 + 2288939029776 = 2031988^2 + 1512924^2 .

It is a super-2 number, since 2×6417914261920² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1122598902 + ... + 1122604618.

Almost surely, 2^{6417914261920} 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 6417914261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9175322085300).

6417914261920 is an abundant number, since it is smaller than the sum of its proper divisors (11932729908680).

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

6417914261920 is a wasteful number, since it uses less digits than its factorization.

6417914261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 6417914261920 in words is "six trillion, four hundred seventeen billion, nine hundred fourteen million, two hundred sixty-one thousand, nine hundred twenty".