16597434702640 has 240 divisors, whose sum is σ = 44338602147840. Its totient is φ = 5766797836800.

The previous prime is 16597434702637. The next prime is 16597434702643. The reversal of 16597434702640 is 4620743479561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16597434702637) and next prime (16597434702643).

It is not an unprimeable number, because it can be changed into a prime (16597434702643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23356257 + ... + 24056383.

It is an arithmetic number, because the mean of its divisors is an integer number (184744175616).

Almost surely, 2^{16597434702640} is an apocalyptic number.

16597434702640 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 16597434702640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22169301073920).

16597434702640 is an abundant number, since it is smaller than the sum of its proper divisors (27741167445200).

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

16597434702640 is a wasteful number, since it uses less digits than its factorization.

16597434702640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700272 (or 700255 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 58.

The spelling of 16597434702640 in words is "sixteen trillion, five hundred ninety-seven billion, four hundred thirty-four million, seven hundred two thousand, six hundred forty".