1006080792768 has 784 divisors, whose sum is σ = 3374306627040. Its totient is φ = 295612416000.

The previous prime is 1006080792737. The next prime is 1006080792833. The reversal of 1006080792768 is 8672970806001.

1006080792768 is a `hidden beast` number, since 1 + 0 + 0 + 608 + 0 + 7 + 9 + 27 + 6 + 8 = 666.

It is a super-2 number, since 2×1006080792768² (a number of 25 digits) contains 22 as substring.

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

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 111 ways as a sum of consecutive naturals, for example, 1522058358 + ... + 1522059018.

Almost surely, 2^{1006080792768} is an apocalyptic number.

1006080792768 is a gapful number since it is divisible by the number (18) 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 1006080792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687153313520).

1006080792768 is an abundant number, since it is smaller than the sum of its proper divisors (2368225834272).

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

1006080792768 is a wasteful number, since it uses less digits than its factorization.

1006080792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1006080792768 in words is "one trillion, six billion, eighty million, seven hundred ninety-two thousand, seven hundred sixty-eight".