1610905342464 has 640 divisors, whose sum is σ = 5559378105600. Its totient is φ = 455143587840.

The previous prime is 1610905342439. The next prime is 1610905342499. The reversal of 1610905342464 is 4642435090161.

1610905342464 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 90 + 534 + 24 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281771734 + ... + 281777450.

It is an arithmetic number, because the mean of its divisors is an integer number (8686528290).

Almost surely, 2^{1610905342464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610905342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779689052800).

1610905342464 is an abundant number, since it is smaller than the sum of its proper divisors (3948472763136).

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

1610905342464 is a wasteful number, since it uses less digits than its factorization.

1610905342464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1610905342464 in words is "one trillion, six hundred ten billion, nine hundred five million, three hundred forty-two thousand, four hundred sixty-four".