610140204828 has 384 divisors, whose sum is σ = 2114651750400. Its totient is φ = 147264998400.

The previous prime is 610140204823. The next prime is 610140204829. The reversal of 610140204828 is 828402041016.

610140204828 is a `hidden beast` number, since 6 + 10 + 140 + 20 + 482 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 610140204792 and 610140204801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610140204823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11141073 + ... + 11195703.

It is an arithmetic number, because the mean of its divisors is an integer number (5506905600).

Almost surely, 2^610140204828 is an apocalyptic number.

610140204828 is a gapful number since it is divisible by the number (68) 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 610140204828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057325875200).

610140204828 is an abundant number, since it is smaller than the sum of its proper divisors (1504511545572).

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

610140204828 is a wasteful number, since it uses less digits than its factorization.

610140204828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54758 (or 54750 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 610140204828 in words is "six hundred ten billion, one hundred forty million, two hundred four thousand, eight hundred twenty-eight".