6675419520 has 1024 divisors, whose sum is σ = 30668544000. Its totient is φ = 1331527680.

The previous prime is 6675419507. The next prime is 6675419521. The reversal of 6675419520 is 259145766.

6675419520 is a `hidden beast` number, since 6 + 67 + 54 + 19 + 520 = 666.

It is a super-2 number, since 2×6675419520² = 89122451535994060800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6675419521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38586154 + ... + 38586326.

It is an arithmetic number, because the mean of its divisors is an integer number (29949750).

Almost surely, 2^6675419520 is an apocalyptic number.

6675419520 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 6675419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334272000).

6675419520 is an abundant number, since it is smaller than the sum of its proper divisors (23993124480).

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

6675419520 is a wasteful number, since it uses less digits than its factorization.

6675419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 6675419520 is about 81703.2405722074. The cubic root of 6675419520 is about 1882.8953725836.

The spelling of 6675419520 in words is "six billion, six hundred seventy-five million, four hundred nineteen thousand, five hundred twenty".