1064347764480 has 1728 divisors, whose sum is σ = 5160637827072. Its totient is φ = 195225845760.

The previous prime is 1064347764449. The next prime is 1064347764523. The reversal of 1064347764480 is 844677434601.

1064347764480 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 34 + 77 + 64 + 480 = 666.

It is a super-2 number, since 2×1064347764480² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265222954 + ... + 265226966.

It is an arithmetic number, because the mean of its divisors is an integer number (2986480224).

Almost surely, 2^{1064347764480} is an apocalyptic number.

1064347764480 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 1064347764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580318913536).

1064347764480 is an abundant number, since it is smaller than the sum of its proper divisors (4096290062592).

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

1064347764480 is a wasteful number, since it uses less digits than its factorization.

1064347764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 1064347764480 in words is "one trillion, sixty-four billion, three hundred forty-seven million, seven hundred sixty-four thousand, four hundred eighty".