610681603227696 has 5760 divisors, whose sum is σ = 2672171370086400. Its totient is φ = 125812644249600.

The previous prime is 610681603227659. The next prime is 610681603227739. The reversal of 610681603227696 is 696722306186016.

610681603227696 is a `hidden beast` number, since 6 + 1 + 0 + 68 + 160 + 322 + 7 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2666731891710 + ... + 2666731891938.

It is an arithmetic number, because the mean of its divisors is an integer number (463918640640).

Almost surely, 2^{610681603227696} is an apocalyptic number.

610681603227696 is a gapful number since it is divisible by the number (66) 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 610681603227696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336085685043200).

610681603227696 is an abundant number, since it is smaller than the sum of its proper divisors (2061489766858704).

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

610681603227696 is a wasteful number, since it uses less digits than its factorization.

610681603227696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 610681603227696 in words is "six hundred ten trillion, six hundred eighty-one billion, six hundred three million, two hundred twenty-seven thousand, six hundred ninety-six".