6658419040 has 384 divisors, whose sum is σ = 20605777920. Its totient is φ = 1975615488.

The previous prime is 6658419037. The next prime is 6658419043. The reversal of 6658419040 is 409148566.

It is an interprime number because it is at equal distance from previous prime (6658419037) and next prime (6658419043).

It is a super-2 number, since 2×6658419040² = 88669088224469043200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6658419043) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19757752 + ... + 19758088.

It is an arithmetic number, because the mean of its divisors is an integer number (53660880).

Almost surely, 2^6658419040 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 6658419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10302888960).

6658419040 is an abundant number, since it is smaller than the sum of its proper divisors (13947358880).

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

6658419040 is a wasteful number, since it uses less digits than its factorization.

6658419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 6658419040 is about 81599.1362699385. The cubic root of 6658419040 is about 1881.2956060952.

The spelling of 6658419040 in words is "six billion, six hundred fifty-eight million, four hundred nineteen thousand, forty".