608957798400 has 864 divisors, whose sum is σ = 2528500665600. Its totient is φ = 137178316800.

The previous prime is 608957798369. The next prime is 608957798411. The reversal of 608957798400 is 4897759806.

608957798400 is a `hidden beast` number, since 60 + 89 + 5 + 7 + 7 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229016271 + ... + 229018929.

It is an arithmetic number, because the mean of its divisors is an integer number (2926505400).

Almost surely, 2^608957798400 is an apocalyptic number.

608957798400 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 608957798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264250332800).

608957798400 is an abundant number, since it is smaller than the sum of its proper divisors (1919542867200).

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

608957798400 is a wasteful number, since it uses less digits than its factorization.

608957798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 608957798400 in words is "six hundred eight billion, nine hundred fifty-seven million, seven hundred ninety-eight thousand, four hundred".