608963290320 has 640 divisors, whose sum is σ = 2391275520000. Its totient is φ = 124523642880.

The previous prime is 608963290319. The next prime is 608963290333. The reversal of 608963290320 is 23092369806.

It is a Cunningham number, because it is equal to 780361²-1.

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 608963290320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 655503616 + ... + 655504544.

It is an arithmetic number, because the mean of its divisors is an integer number (3736368000).

Almost surely, 2^608963290320 is an apocalyptic number.

608963290320 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 608963290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195637760000).

608963290320 is an abundant number, since it is smaller than the sum of its proper divisors (1782312229680).

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

608963290320 is a wasteful number, since it uses less digits than its factorization.

608963290320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 608963290320 in words is "six hundred eight billion, nine hundred sixty-three million, two hundred ninety thousand, three hundred twenty".