16612734240 has 144 divisors (see below), whose sum is σ = 58073868216. Its totient is φ = 4321996800.

The previous prime is 16612734223. The next prime is 16612734247. The reversal of 16612734240 is 4243721661.

16612734240 is a `hidden beast` number, since 1 + 6 + 612 + 7 + 34 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5377582224 + 11235152016 = 73332^2 + 105996^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 16612734195 and 16612734204.

It is not an unprimeable number, because it can be changed into a prime (16612734247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81651 + ... + 199730.

Almost surely, 2^16612734240 is an apocalyptic number.

16612734240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16612734240 is an abundant number, since it is smaller than the sum of its proper divisors (41461133976).

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

16612734240 is a wasteful number, since it uses less digits than its factorization.

16612734240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281443 (or 281432 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 16612734240 in words is "sixteen billion, six hundred twelve million, seven hundred thirty-four thousand, two hundred forty".