1006480972968 has 16 divisors (see below), whose sum is σ = 2516202432480. Its totient is φ = 335493657648.

The previous prime is 1006480972949. The next prime is 1006480973041. The reversal of 1006480972968 is 8692790846001.

It is a super-2 number, since 2×1006480972968² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20968353580 + ... + 20968353627.

It is an arithmetic number, because the mean of its divisors is an integer number (157262652030).

Almost surely, 2^{1006480972968} is an apocalyptic number.

It is an amenable number.

1006480972968 is an abundant number, since it is smaller than the sum of its proper divisors (1509721459512).

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

1006480972968 is a wasteful number, since it uses less digits than its factorization.

1006480972968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41936707216 (or 41936707212 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 1006480972968 in words is "one trillion, six billion, four hundred eighty million, nine hundred seventy-two thousand, nine hundred sixty-eight".