610649487360 has 1920 divisors, whose sum is σ = 2630293585920. Its totient is φ = 133772083200.

The previous prime is 610649487347. The next prime is 610649487361. The reversal of 610649487360 is 63784946016.

610649487360 is a `hidden beast` number, since 6 + 10 + 6 + 494 + 87 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 610649487297 and 610649487306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610649487361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4808263617 + ... + 4808263743.

It is an arithmetic number, because the mean of its divisors is an integer number (1369944576).

Almost surely, 2^610649487360 is an apocalyptic number.

610649487360 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 610649487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315146792960).

610649487360 is an abundant number, since it is smaller than the sum of its proper divisors (2019644098560).

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

610649487360 is a wasteful number, since it uses less digits than its factorization.

610649487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 610649487360 in words is "six hundred ten billion, six hundred forty-nine million, four hundred eighty-seven thousand, three hundred sixty".