610385826240 has 336 divisors, whose sum is σ = 2132250808896. Its totient is φ = 160247808000.

The previous prime is 610385826221. The next prime is 610385826241. The reversal of 610385826240 is 42628583016.

610385826240 is a `hidden beast` number, since 6 + 1 + 0 + 3 + 8 + 582 + 62 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610385826241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49135230 + ... + 49147650.

Almost surely, 2^610385826240 is an apocalyptic number.

610385826240 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 610385826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066125404448).

610385826240 is an abundant number, since it is smaller than the sum of its proper divisors (1521864982656).

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

610385826240 is a wasteful number, since it uses less digits than its factorization.

610385826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12708 (or 12695 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 610385826240 in words is "six hundred ten billion, three hundred eighty-five million, eight hundred twenty-six thousand, two hundred forty".