610577872706880 has 280 divisors, whose sum is σ = 2339004673271112. Its totient is φ = 150296091660288.

The previous prime is 610577872706783. The next prime is 610577872706881. The reversal of 610577872706880 is 88607278775016.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3094193577024 + 607483679129856 = 1759032^2 + 24647184^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 610577872706799 and 610577872706808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610577872706881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 905672467 + ... + 906346386.

Almost surely, 2^{610577872706880} is an apocalyptic number.

610577872706880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

610577872706880 is an abundant number, since it is smaller than the sum of its proper divisors (1728426800564232).

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

610577872706880 is a wasteful number, since it uses less digits than its factorization.

610577872706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812018895 (or 1812018876 counting only the distinct ones).

The product of its (nonzero) digits is 442552320, while the sum is 72.

The spelling of 610577872706880 in words is "six hundred ten trillion, five hundred seventy-seven billion, eight hundred seventy-two million, seven hundred six thousand, eight hundred eighty".