1006994775864 has 64 divisors (see below), whose sum is σ = 3138685021440. Its totient is φ = 261557084160.

The previous prime is 1006994775863. The next prime is 1006994775883. The reversal of 1006994775864 is 4685774996001.

It is a super-3 number, since 3×1006994775864³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1006994775795 and 1006994775804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006994775863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272453449 + ... + 272457144.

It is an arithmetic number, because the mean of its divisors is an integer number (49041953460).

Almost surely, 2^{1006994775864} is an apocalyptic number.

1006994775864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1006994775864 is an abundant number, since it is smaller than the sum of its proper divisors (2131690245576).

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

1006994775864 is a wasteful number, since it uses less digits than its factorization.

1006994775864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544910620 (or 544910616 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 1006994775864 in words is "one trillion, six billion, nine hundred ninety-four million, seven hundred seventy-five thousand, eight hundred sixty-four".