2005699328640 has 768 divisors, whose sum is σ = 8698255632000. Its totient is φ = 434313363456.

The previous prime is 2005699328623. The next prime is 2005699328681. The reversal of 2005699328640 is 468239965002.

It is a happy number.

2005699328640 is a `hidden beast` number, since 2 + 0 + 0 + 569 + 9 + 32 + 8 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16025344 + ... + 16150016.

Almost surely, 2^{2005699328640} is an apocalyptic number.

2005699328640 is a gapful number since it is divisible by the number (20) 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 2005699328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349127816000).

2005699328640 is an abundant number, since it is smaller than the sum of its proper divisors (6692556303360).

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

2005699328640 is a wasteful number, since it uses less digits than its factorization.

2005699328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124734 (or 124709 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2005699328640 in words is "two trillion, five billion, six hundred ninety-nine million, three hundred twenty-eight thousand, six hundred forty".