1610464968000 has 2016 divisors, whose sum is σ = 7103106017280. Its totient is φ = 346584268800.

The previous prime is 1610464967999. The next prime is 1610464968037. The reversal of 1610464968000 is 8694640161.

1610464968000 is a `hidden beast` number, since 16 + 10 + 464 + 96 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 7221815889 + ... + 7221816111.

It is an arithmetic number, because the mean of its divisors is an integer number (3523366080).

Almost surely, 2^{1610464968000} is an apocalyptic number.

1610464968000 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 1610464968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551553008640).

1610464968000 is an abundant number, since it is smaller than the sum of its proper divisors (5492641049280).

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

1610464968000 is a wasteful number, since it uses less digits than its factorization.

1610464968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1610464968000 in words is "one trillion, six hundred ten billion, four hundred sixty-four million, nine hundred sixty-eight thousand".