1006793936640 has 1152 divisors, whose sum is σ = 3889120435200. Its totient is φ = 245806202880.

The previous prime is 1006793936611. The next prime is 1006793936741. The reversal of 1006793936640 is 466393976001.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5110629022 + ... + 5110629218.

It is an arithmetic number, because the mean of its divisors is an integer number (3375972600).

Almost surely, 2^{1006793936640} is an apocalyptic number.

1006793936640 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 1006793936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944560217600).

1006793936640 is an abundant number, since it is smaller than the sum of its proper divisors (2882326498560).

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

1006793936640 is a wasteful number, since it uses less digits than its factorization.

1006793936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 1006793936640 in words is "one trillion, six billion, seven hundred ninety-three million, nine hundred thirty-six thousand, six hundred forty".