6607146000 has 320 divisors, whose sum is σ = 26219321856. Its totient is φ = 1393920000.

The previous prime is 6607145969. The next prime is 6607146011. The reversal of 6607146000 is 6417066.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539950 + ... + 552050.

Almost surely, 2^6607146000 is an apocalyptic number.

6607146000 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 6607146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13109660928).

6607146000 is an abundant number, since it is smaller than the sum of its proper divisors (19612175856).

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

6607146000 is a wasteful number, since it uses less digits than its factorization.

6607146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12147 (or 12131 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6607146000 is about 81284.3527377810. The cubic root of 6607146000 is about 1876.4541963198.

The spelling of 6607146000 in words is "six billion, six hundred seven million, one hundred forty-six thousand".