1064217772800 has 1296 divisors, whose sum is σ = 4711799758848. Its totient is φ = 223152537600.

The previous prime is 1064217772799. The next prime is 1064217772801. The reversal of 1064217772800 is 82777124601.

1064217772800 is a `hidden beast` number, since 10 + 6 + 421 + 77 + 72 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1064217772799) and next prime (1064217772801).

It is a super-2 number, since 2×1064217772800² (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 not an unprimeable number, because it can be changed into a prime (1064217772801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1001145069 + ... + 1001146131.

Almost surely, 2^{1064217772800} is an apocalyptic number.

1064217772800 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 1064217772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355899879424).

1064217772800 is an abundant number, since it is smaller than the sum of its proper divisors (3647581986048).

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

1064217772800 is a wasteful number, since it uses less digits than its factorization.

1064217772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 1064217772800 in words is "one trillion, sixty-four billion, two hundred seventeen million, seven hundred seventy-two thousand, eight hundred".