6417997146 has 128 divisors (see below), whose sum is σ = 16290201600. Its totient is φ = 1855224000.

The previous prime is 6417997141. The next prime is 6417997147.

6417997146 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6417997092 and 6417997101.

It is not an unprimeable number, because it can be changed into a prime (6417997141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1304940 + ... + 1309848.

It is an arithmetic number, because the mean of its divisors is an integer number (127267200).

Almost surely, 2^6417997146 is an apocalyptic number.

6417997146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6417997146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145100800).

6417997146 is an abundant number, since it is smaller than the sum of its proper divisors (9872204454).

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

6417997146 is a wasteful number, since it uses less digits than its factorization.

6417997146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5027 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 6417997146 is about 80112.4031970081. The cubic root of 6417997146 is about 1858.3742245292.

The spelling of 6417997146 in words is "six billion, four hundred seventeen million, nine hundred ninety-seven thousand, one hundred forty-six".