1064765366016 has 576 divisors, whose sum is σ = 3324419159040. Its totient is φ = 299450368000.

The previous prime is 1064765366003. The next prime is 1064765366083. The reversal of 1064765366016 is 6106635674601.

It is a super-2 number, since 2×1064765366016² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1064765366016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713170966 + ... + 713172458.

It is an arithmetic number, because the mean of its divisors is an integer number (5771561040).

Almost surely, 2^{1064765366016} is an apocalyptic number.

1064765366016 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 1064765366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662209579520).

1064765366016 is an abundant number, since it is smaller than the sum of its proper divisors (2259653793024).

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

1064765366016 is a wasteful number, since it uses less digits than its factorization.

1064765366016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 1064765366016 in words is "one trillion, sixty-four billion, seven hundred sixty-five million, three hundred sixty-six thousand, sixteen".