1610319644640 has 480 divisors, whose sum is σ = 6518505115584. Its totient is φ = 366738554880.

The previous prime is 1610319644599. The next prime is 1610319644651. The reversal of 1610319644640 is 464469130161.

1610319644640 is a `hidden beast` number, since 1 + 6 + 10 + 3 + 196 + 446 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25097400 + ... + 25161480.

Almost surely, 2^{1610319644640} is an apocalyptic number.

1610319644640 is a gapful number since it is divisible by the number (10) 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 1610319644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259252557792).

1610319644640 is an abundant number, since it is smaller than the sum of its proper divisors (4908185470944).

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

1610319644640 is a wasteful number, since it uses less digits than its factorization.

1610319644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64392 (or 64375 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1610319644640 in words is "one trillion, six hundred ten billion, three hundred nineteen million, six hundred forty-four thousand, six hundred forty".