608864256000 has 2880 divisors, whose sum is σ = 3045726727680. Its totient is φ = 116785152000.

The previous prime is 608864255963. The next prime is 608864256001. The reversal of 608864256000 is 652468806.

608864256000 is a `hidden beast` number, since 6 + 0 + 8 + 86 + 4 + 2 + 560 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (608864256001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46835711994 + ... + 46835712006.

Almost surely, 2^608864256000 is an apocalyptic number.

608864256000 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 608864256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522863363840).

608864256000 is an abundant number, since it is smaller than the sum of its proper divisors (2436862471680).

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

608864256000 is a wasteful number, since it uses less digits than its factorization.

608864256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 608864256000 in words is "six hundred eight billion, eight hundred sixty-four million, two hundred fifty-six thousand".