610204928256000 has 6912 divisors, whose sum is σ = 2952125123351040. Its totient is φ = 122974765056000.

The previous prime is 610204928255981. The next prime is 610204928256013. The reversal of 610204928256000 is 652829402016.

610204928256000 is a `hidden beast` number, since 6 + 1 + 0 + 2 + 0 + 4 + 9 + 2 + 82 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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 575 ways as a sum of consecutive naturals, for example, 1949536511844 + ... + 1949536512156.

It is an arithmetic number, because the mean of its divisors is an integer number (427101435670).

Almost surely, 2^{610204928256000} is an apocalyptic number.

610204928256000 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 610204928256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476062561675520).

610204928256000 is an abundant number, since it is smaller than the sum of its proper divisors (2341920195095040).

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

610204928256000 is a wasteful number, since it uses less digits than its factorization.

610204928256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 610204928256000 in words is "six hundred ten trillion, two hundred four billion, nine hundred twenty-eight million, two hundred fifty-six thousand".