1064894688000 has 2880 divisors, whose sum is σ = 4958628554880. Its totient is φ = 224280576000.

The previous prime is 1064894687977. The next prime is 1064894688023. The reversal of 1064894688000 is 8864984601.

It is an interprime number because it is at equal distance from previous prime (1064894687977) and next prime (1064894688023).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1064894688000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 62640863992 + ... + 62640864008.

It is an arithmetic number, because the mean of its divisors is an integer number (1721746026).

Almost surely, 2^{1064894688000} is an apocalyptic number.

1064894688000 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 1064894688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479314277440).

1064894688000 is an abundant number, since it is smaller than the sum of its proper divisors (3893733866880).

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

1064894688000 is an equidigital number, since it uses as much as digits as its factorization.

1064894688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1064894688000 in words is "one trillion, sixty-four billion, eight hundred ninety-four million, six hundred eighty-eight thousand".