64665216000 has 1584 divisors, whose sum is σ = 301684436352. Its totient is φ = 13436928000.

The previous prime is 64665215969. The next prime is 64665216043. The reversal of 64665216000 is 61256646.

It is a happy number.

64665216000 is a `hidden beast` number, since 6 + 46 + 6 + 5 + 2 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5878655995 + ... + 5878656005.

Almost surely, 2^64665216000 is an apocalyptic number.

64665216000 is a gapful number since it is divisible by the number (60) 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 64665216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150842218176).

64665216000 is an abundant number, since it is smaller than the sum of its proper divisors (237019220352).

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

64665216000 is an frugal number, since it uses more digits than its factorization.

64665216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 64665216000 in words is "sixty-four billion, six hundred sixty-five million, two hundred sixteen thousand".