1036164790080 has 336 divisors, whose sum is σ = 4078140753024. Its totient is φ = 236545413120.

The previous prime is 1036164790043. The next prime is 1036164790117. The reversal of 1036164790080 is 800974616301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1036164790043) and next prime (1036164790117).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1036164790080³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 16520059 + ... + 16582661.

Almost surely, 2^{1036164790080} is an apocalyptic number.

1036164790080 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 1036164790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039070376512).

1036164790080 is an abundant number, since it is smaller than the sum of its proper divisors (3041975962944).

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

1036164790080 is a wasteful number, since it uses less digits than its factorization.

1036164790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63454 (or 63441 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1036164790080 in words is "one trillion, thirty-six billion, one hundred sixty-four million, seven hundred ninety thousand, eighty".