1065640576000 has 704 divisors, whose sum is σ = 3569937606144. Its totient is φ = 306561024000.

The previous prime is 1065640575997. The next prime is 1065640576027. The reversal of 1065640576000 is 6750465601.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×1065640576000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128123842 + ... + 128132158.

Almost surely, 2^{1065640576000} is an apocalyptic number.

1065640576000 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 1065640576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784968803072).

1065640576000 is an abundant number, since it is smaller than the sum of its proper divisors (2504297030144).

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

1065640576000 is a wasteful number, since it uses less digits than its factorization.

1065640576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 1065640576000 in words is "one trillion, sixty-five billion, six hundred forty million, five hundred seventy-six thousand".