1064392265664 has 840 divisors, whose sum is σ = 3890236163632. Its totient is φ = 276531978240.

The previous prime is 1064392265633. The next prime is 1064392265693. The reversal of 1064392265664 is 4665622934601.

1064392265664 is a `hidden beast` number, since 10 + 6 + 43 + 9 + 2 + 26 + 566 + 4 = 666.

It is a super-2 number, since 2×1064392265664² (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 1064392265664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1312443819 + ... + 1312444629.

Almost surely, 2^{1064392265664} is an apocalyptic number.

1064392265664 is a gapful number since it is divisible by the number (14) 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 1064392265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945118081816).

1064392265664 is an abundant number, since it is smaller than the sum of its proper divisors (2825843897968).

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

1064392265664 is an equidigital number, since it uses as much as digits as its factorization.

1064392265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 1064392265664 in words is "one trillion, sixty-four billion, three hundred ninety-two million, two hundred sixty-five thousand, six hundred sixty-four".