16701834240 has 792 divisors, whose sum is σ = 72625676760. Its totient is φ = 3517710336.

The previous prime is 16701834239. The next prime is 16701834269. The reversal of 16701834240 is 4243810761.

It can be written as a sum of positive squares in 4 ways, for example, as 54641664 + 16647192576 = 7392^2 + 129024^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 16701834195 and 16701834204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29352676 + ... + 29353244.

Almost surely, 2^16701834240 is an apocalyptic number.

16701834240 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 16701834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36312838380).

16701834240 is an abundant number, since it is smaller than the sum of its proper divisors (55923842520).

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

16701834240 is a wasteful number, since it uses less digits than its factorization.

16701834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 16701834240 in words is "sixteen billion, seven hundred one million, eight hundred thirty-four thousand, two hundred forty".