1216664064 has 480 divisors, whose sum is σ = 4575707136. Its totient is φ = 313528320.

The previous prime is 1216664047. The next prime is 1216664077. The reversal of 1216664064 is 4604666121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9579969 + ... + 9580095.

Almost surely, 2^1216664064 is an apocalyptic number.

1216664064 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 1216664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287853568).

1216664064 is an abundant number, since it is smaller than the sum of its proper divisors (3359043072).

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

1216664064 is an equidigital number, since it uses as much as digits as its factorization.

1216664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1216664064 is about 34880.7119193402. The cubic root of 1216664064 is about 1067.5549212219.

The spelling of 1216664064 in words is "one billion, two hundred sixteen million, six hundred sixty-four thousand, sixty-four".