1799610632064 has 1024 divisors, whose sum is σ = 6622995456000. Its totient is φ = 469623619584.

The previous prime is 1799610632009. The next prime is 1799610632069. The reversal of 1799610632064 is 4602360169971.

1799610632064 is a `hidden beast` number, since 1 + 79 + 96 + 106 + 320 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1799610632064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1799610632069) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1640483164 + ... + 1640484260.

It is an arithmetic number, because the mean of its divisors is an integer number (6467769000).

Almost surely, 2^{1799610632064} is an apocalyptic number.

1799610632064 is a gapful number since it is divisible by the number (14) 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 1799610632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311497728000).

1799610632064 is an abundant number, since it is smaller than the sum of its proper divisors (4823384823936).

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

1799610632064 is a wasteful number, since it uses less digits than its factorization.

1799610632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1799610632064 in words is "one trillion, seven hundred ninety-nine billion, six hundred ten million, six hundred thirty-two thousand, sixty-four".