1699740000 has 720 divisors, whose sum is σ = 7368641280. Its totient is φ = 362880000.

The previous prime is 1699739989. The next prime is 1699740001. The reversal of 1699740000 is 479961.

1699740000 is a `hidden beast` number, since 169 + 97 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1699740001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23939965 + ... + 23940035.

It is an arithmetic number, because the mean of its divisors is an integer number (10234224).

Almost surely, 2^1699740000 is an apocalyptic number.

1699740000 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 1699740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684320640).

1699740000 is an abundant number, since it is smaller than the sum of its proper divisors (5668901280).

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

1699740000 is a wasteful number, since it uses less digits than its factorization.

1699740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1699740000 is about 41227.9031724874. The cubic root of 1699740000 is about 1193.4223445841.

The spelling of 1699740000 in words is "one billion, six hundred ninety-nine million, seven hundred forty thousand".