610545223553040 has 160 divisors (see below), whose sum is σ = 2103583026652800. Its totient is φ = 162766078456320.

The previous prime is 610545223553021. The next prime is 610545223553093. The reversal of 610545223553040 is 40355322545016.

610545223553040 is a `hidden beast` number, since 6 + 1 + 0 + 5 + 4 + 52 + 2 + 3 + 553 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32263870 + ... + 47560989.

It is an arithmetic number, because the mean of its divisors is an integer number (13147393916580).

Almost surely, 2^{610545223553040} is an apocalyptic number.

610545223553040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

610545223553040 is an abundant number, since it is smaller than the sum of its proper divisors (1493037803099760).

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

610545223553040 is a wasteful number, since it uses less digits than its factorization.

610545223553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79828422 (or 79828410 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 610545223553040 in words is "six hundred ten trillion, five hundred forty-five billion, two hundred twenty-three million, five hundred fifty-three thousand, forty".