664010784000 has 1440 divisors, whose sum is σ = 2646762518400. Its totient is φ = 164826316800.

The previous prime is 664010783983. The next prime is 664010784037. The reversal of 664010784000 is 487010466.

664010784000 is a `hidden beast` number, since 6 + 640 + 1 + 0 + 7 + 8 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 4777055931 + ... + 4777056069.

Almost surely, 2^664010784000 is an apocalyptic number.

664010784000 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 664010784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323381259200).

664010784000 is an abundant number, since it is smaller than the sum of its proper divisors (1982751734400).

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

664010784000 is a wasteful number, since it uses less digits than its factorization.

664010784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 664010784000 its reverse (487010466), we get a palindrome (664497794466).

The spelling of 664010784000 in words is "six hundred sixty-four billion, ten million, seven hundred eighty-four thousand".