16319537640 has 256 divisors, whose sum is σ = 62306496000. Its totient is φ = 3721973760.

The previous prime is 16319537629. The next prime is 16319537657. The reversal of 16319537640 is 4673591361.

It is a happy number.

16319537640 is a `hidden beast` number, since 1 + 63 + 19 + 537 + 6 + 40 = 666.

16319537640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3845920 + ... + 3850160.

It is an arithmetic number, because the mean of its divisors is an integer number (243384750).

Almost surely, 2^16319537640 is an apocalyptic number.

16319537640 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 16319537640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31153248000).

16319537640 is an abundant number, since it is smaller than the sum of its proper divisors (45986958360).

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

16319537640 is a wasteful number, since it uses less digits than its factorization.

16319537640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 16319537640 in words is "sixteen billion, three hundred nineteen million, five hundred thirty-seven thousand, six hundred forty".