1716536640 has 448 divisors, whose sum is σ = 6861657600. Its totient is φ = 361267200.

The previous prime is 1716536639. The next prime is 1716536641. The reversal of 1716536640 is 466356171.

It is an interprime number because it is at equal distance from previous prime (1716536639) and next prime (1716536641).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1716536641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4280440 + ... + 4280840.

It is an arithmetic number, because the mean of its divisors is an integer number (15316200).

Almost surely, 2^1716536640 is an apocalyptic number.

1716536640 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 1716536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430828800).

1716536640 is an abundant number, since it is smaller than the sum of its proper divisors (5145120960).

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

1716536640 is a wasteful number, since it uses less digits than its factorization.

1716536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1716536640 is about 41431.1071539248. The cubic root of 1716536640 is about 1197.3405549250.

The spelling of 1716536640 in words is "one billion, seven hundred sixteen million, five hundred thirty-six thousand, six hundred forty".