16307216640 has 864 divisors, whose sum is σ = 69907743360. Its totient is φ = 3450470400.

The previous prime is 16307216633. The next prime is 16307216669. The reversal of 16307216640 is 4661270361.

It is a happy number.

16307216640 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 7 + 2 + 1 + 6 + 640 = 666.

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 = 16307216595 and 16307216604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31299580 + ... + 31300100.

It is an arithmetic number, because the mean of its divisors is an integer number (80911740).

Almost surely, 2^16307216640 is an apocalyptic number.

16307216640 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 16307216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34953871680).

16307216640 is an abundant number, since it is smaller than the sum of its proper divisors (53600526720).

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

16307216640 is a wasteful number, since it uses less digits than its factorization.

16307216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

It can be divided in two parts, 1630721 and 6640, that added together give a palindrome (1637361).

The spelling of 16307216640 in words is "sixteen billion, three hundred seven million, two hundred sixteen thousand, six hundred forty".