1006037366334 has 128 divisors (see below), whose sum is σ = 2818984992768. Its totient is φ = 230720434560.

The previous prime is 1006037366333. The next prime is 1006037366351. The reversal of 1006037366334 is 4336637306001.

It is a super-2 number, since 2×1006037366334² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006037366333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3503284 + ... + 3779559.

It is an arithmetic number, because the mean of its divisors is an integer number (22023320256).

Almost surely, 2^{1006037366334} is an apocalyptic number.

1006037366334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1006037366334 is an abundant number, since it is smaller than the sum of its proper divisors (1812947626434).

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

1006037366334 is a wasteful number, since it uses less digits than its factorization.

1006037366334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282902.

The product of its (nonzero) digits is 489888, while the sum is 42.

The spelling of 1006037366334 in words is "one trillion, six billion, thirty-seven million, three hundred sixty-six thousand, three hundred thirty-four".