1006649604576 has 480 divisors, whose sum is σ = 3851546485248. Its totient is φ = 250098140160.

The previous prime is 1006649604563. The next prime is 1006649604589. The reversal of 1006649604576 is 6754069466001.

1006649604576 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 4 + 9 + 60 + 4 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (1006649604563) and next prime (1006649604589).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4480786 + ... + 4700078.

Almost surely, 2^{1006649604576} is an apocalyptic number.

1006649604576 is a gapful number since it is divisible by the number (16) 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 1006649604576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925773242624).

1006649604576 is an abundant number, since it is smaller than the sum of its proper divisors (2844896880672).

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

1006649604576 is a wasteful number, since it uses less digits than its factorization.

1006649604576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219356 (or 219339 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1006649604576 in words is "one trillion, six billion, six hundred forty-nine million, six hundred four thousand, five hundred seventy-six".