1006707708864 has 672 divisors, whose sum is σ = 3622071048960. Its totient is φ = 262766592000.

The previous prime is 1006707708821. The next prime is 1006707708871. The reversal of 1006707708864 is 4688077076001.

It is a super-2 number, since 2×1006707708864² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1006707708864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104849664 + ... + 104859264.

It is an arithmetic number, because the mean of its divisors is an integer number (5389986680).

Almost surely, 2^{1006707708864} 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 1006707708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811035524480).

1006707708864 is an abundant number, since it is smaller than the sum of its proper divisors (2615363340096).

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

1006707708864 is a wasteful number, since it uses less digits than its factorization.

1006707708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9729 (or 9716 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 1006707708864 in words is "one trillion, six billion, seven hundred seven million, seven hundred eight thousand, eight hundred sixty-four".