1006375969760 has 576 divisors, whose sum is σ = 2949142597632. Its totient is φ = 317399040000.

The previous prime is 1006375969747. The next prime is 1006375969771. The reversal of 1006375969760 is 679695736001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006375969760.

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 95 ways as a sum of consecutive naturals, for example, 2509665560 + ... + 2509665960.

It is an arithmetic number, because the mean of its divisors is an integer number (5120039232).

Almost surely, 2^{1006375969760} is an apocalyptic number.

1006375969760 is a gapful number since it is divisible by the number (10) 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 1006375969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474571298816).

1006375969760 is an abundant number, since it is smaller than the sum of its proper divisors (1942766627872).

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

1006375969760 is a wasteful number, since it uses less digits than its factorization.

1006375969760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 59.

The spelling of 1006375969760 in words is "one trillion, six billion, three hundred seventy-five million, nine hundred sixty-nine thousand, seven hundred sixty".