1006900915328 has 576 divisors, whose sum is σ = 2676352573440. Its totient is φ = 375537254400.

The previous prime is 1006900915283. The next prime is 1006900915333. The reversal of 1006900915328 is 8235190096001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2987836376 + ... + 2987836712.

It is an arithmetic number, because the mean of its divisors is an integer number (4646445440).

Almost surely, 2^{1006900915328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006900915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338176286720).

1006900915328 is an abundant number, since it is smaller than the sum of its proper divisors (1669451658112).

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

1006900915328 is a wasteful number, since it uses less digits than its factorization.

1006900915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The spelling of 1006900915328 in words is "one trillion, six billion, nine hundred million, nine hundred fifteen thousand, three hundred twenty-eight".