608270826240 has 576 divisors, whose sum is σ = 2691149368320. Its totient is φ = 126393384960.

The previous prime is 608270826211. The next prime is 608270826253. The reversal of 608270826240 is 42628072806.

608270826240 is a `hidden beast` number, since 60 + 8 + 270 + 82 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2546832 + ... + 2775408.

It is an arithmetic number, because the mean of its divisors is an integer number (4672134320).

Almost surely, 2^608270826240 is an apocalyptic number.

608270826240 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 608270826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345574684160).

608270826240 is an abundant number, since it is smaller than the sum of its proper divisors (2082878542080).

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

608270826240 is a wasteful number, since it uses less digits than its factorization.

608270826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228625 (or 228605 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 608270826240 in words is "six hundred eight billion, two hundred seventy million, eight hundred twenty-six thousand, two hundred forty".