610778357280 has 576 divisors, whose sum is σ = 2645523659520. Its totient is φ = 128866443264.

The previous prime is 610778357257. The next prime is 610778357291. The reversal of 610778357280 is 82753877016.

610778357280 is a `hidden beast` number, since 6 + 1 + 0 + 7 + 7 + 8 + 357 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5050804 + ... + 5170316.

It is an arithmetic number, because the mean of its divisors is an integer number (4592923020).

Almost surely, 2^610778357280 is an apocalyptic number.

610778357280 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 610778357280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322761829760).

610778357280 is an abundant number, since it is smaller than the sum of its proper divisors (2034745302240).

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

610778357280 is a wasteful number, since it uses less digits than its factorization.

610778357280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119570 (or 119543 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 610778357280 in words is "six hundred ten billion, seven hundred seventy-eight million, three hundred fifty-seven thousand, two hundred eighty".