608693137920 has 480 divisors, whose sum is σ = 2513993594112. Its totient is φ = 133079924736.

The previous prime is 608693137919. The next prime is 608693137981. The reversal of 608693137920 is 29731396806.

608693137920 is a `hidden beast` number, since 608 + 6 + 9 + 3 + 1 + 3 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×608693137920² (a number of 24 digits) contains 22 as substring.

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, 3627394 + ... + 3791486.

Almost surely, 2^608693137920 is an apocalyptic number.

608693137920 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 608693137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256996797056).

608693137920 is an abundant number, since it is smaller than the sum of its proper divisors (1905300456192).

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

608693137920 is a wasteful number, since it uses less digits than its factorization.

608693137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164152 (or 164133 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 608693137920 in words is "six hundred eight billion, six hundred ninety-three million, one hundred thirty-seven thousand, nine hundred twenty".