1036066622976 has 1280 divisors, whose sum is σ = 4038941491200. Its totient is φ = 254251008000.

The previous prime is 1036066622911. The next prime is 1036066623017. The reversal of 1036066622976 is 6792266606301.

It is a super-3 number, since 3×1036066622976³ (a number of 37 digits) contains 333 as substring.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2472712495 + ... + 2472712913.

It is an arithmetic number, because the mean of its divisors is an integer number (3155423040).

Almost surely, 2^{1036066622976} is an apocalyptic number.

1036066622976 is a gapful number since it is divisible by the number (16) 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 1036066622976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019470745600).

1036066622976 is an abundant number, since it is smaller than the sum of its proper divisors (3002874868224).

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

1036066622976 is a wasteful number, since it uses less digits than its factorization.

1036066622976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 1036066622976 in words is "one trillion, thirty-six billion, sixty-six million, six hundred twenty-two thousand, nine hundred seventy-six".