1065630636000 has 1728 divisors, whose sum is σ = 4682387062080. Its totient is φ = 228411187200.

The previous prime is 1065630635941. The next prime is 1065630636041. The reversal of 1065630636000 is 6360365601.

It is a happy number.

1065630636000 is a `hidden beast` number, since 10 + 6 + 5 + 6 + 3 + 0 + 636 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1065630636000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1892771719 + ... + 1892772281.

It is an arithmetic number, because the mean of its divisors is an integer number (2709714735).

Almost surely, 2^{1065630636000} is an apocalyptic number.

1065630636000 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 1065630636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341193531040).

1065630636000 is an abundant number, since it is smaller than the sum of its proper divisors (3616756426080).

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

1065630636000 is a wasteful number, since it uses less digits than its factorization.

1065630636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 1065630636000 in words is "one trillion, sixty-five billion, six hundred thirty million, six hundred thirty-six thousand".