608675354400 has 288 divisors, whose sum is σ = 2029122627840. Its totient is φ = 158397281280.

The previous prime is 608675354383. The next prime is 608675354407. The reversal of 608675354400 is 4453576806.

608675354400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 608675354400.

It is not an unprimeable number, because it can be changed into a prime (608675354407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167078979 + ... + 167082621.

It is an arithmetic number, because the mean of its divisors is an integer number (7045564680).

Almost surely, 2^608675354400 is an apocalyptic number.

608675354400 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 608675354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014561313920).

608675354400 is an abundant number, since it is smaller than the sum of its proper divisors (1420447273440).

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

608675354400 is a wasteful number, since it uses less digits than its factorization.

608675354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 608675354400 in words is "six hundred eight billion, six hundred seventy-five million, three hundred fifty-four thousand, four hundred".