1006362086976 has 105 divisors (see below), whose sum is σ = 2983386614241. Its totient is φ = 335429952768.

The previous prime is 1006362086953. The next prime is 1006362086987. The reversal of 1006362086976 is 6796802636001.

The square root of 1006362086976 is 1003176.

It is a perfect power (a square), and thus also a powerful number.

1006362086976 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 3 + 620 + 8 + 6 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1003763534400 + 2598552576 = 1001880^2 + 50976^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 72221706 + ... + 72235638.

Almost surely, 2^{1006362086976} is an apocalyptic number.

1006362086976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1006362086976 is the 1003176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006362086976

1006362086976 is an abundant number, since it is smaller than the sum of its proper divisors (1977024527265).

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

1006362086976 is an frugal number, since it uses more digits than its factorization.

1006362086976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27890 (or 13938 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

It can be divided in two parts, 10063620 and 86976, that added together give a square (10150596 = 3186²).

The spelling of 1006362086976 in words is "one trillion, six billion, three hundred sixty-two million, eighty-six thousand, nine hundred seventy-six".