1064720829600 has 576 divisors, whose sum is σ = 4103581104000. Its totient is φ = 268973706240.

The previous prime is 1064720829583. The next prime is 1064720829617. The reversal of 1064720829600 is 69280274601.

It is a happy number.

1064720829600 is a `hidden beast` number, since 10 + 6 + 4 + 7 + 2 + 0 + 8 + 29 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1064720829583) and next prime (1064720829617).

It is a super-2 number, since 2×1064720829600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33226386 + ... + 33258414.

It is an arithmetic number, because the mean of its divisors is an integer number (7124272750).

Almost surely, 2^{1064720829600} is an apocalyptic number.

1064720829600 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 1064720829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051790552000).

1064720829600 is an abundant number, since it is smaller than the sum of its proper divisors (3038860274400).

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

1064720829600 is an equidigital number, since it uses as much as digits as its factorization.

1064720829600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32089 (or 32058 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1064720829600 in words is "one trillion, sixty-four billion, seven hundred twenty million, eight hundred twenty-nine thousand, six hundred".