1006663517620 has 24 divisors (see below), whose sum is σ = 2129201978400. Its totient is φ = 399768532512.

The previous prime is 1006663517603. The next prime is 1006663517641. The reversal of 1006663517620 is 267153666001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181051810 + ... + 181057369.

It is an arithmetic number, because the mean of its divisors is an integer number (88716749100).

Almost surely, 2^{1006663517620} is an apocalyptic number.

1006663517620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006663517620 is an abundant number, since it is smaller than the sum of its proper divisors (1122538460780).

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

1006663517620 is a wasteful number, since it uses less digits than its factorization.

1006663517620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362109327 (or 362109325 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 1006663517620 in words is "one trillion, six billion, six hundred sixty-three million, five hundred seventeen thousand, six hundred twenty".