16312688640 has 672 divisors, whose sum is σ = 63484780320. Its totient is φ = 3850371072.

The previous prime is 16312688627. The next prime is 16312688641. The reversal of 16312688640 is 4688621361.

16312688640 is a `hidden beast` number, since 1 + 631 + 2 + 6 + 8 + 8 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×16312688640² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16312688641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119070652 + ... + 119070788.

Almost surely, 2^16312688640 is an apocalyptic number.

16312688640 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 16312688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31742390160).

16312688640 is an abundant number, since it is smaller than the sum of its proper divisors (47172091680).

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

16312688640 is a wasteful number, since it uses less digits than its factorization.

16312688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16312688640 in words is "sixteen billion, three hundred twelve million, six hundred eighty-eight thousand, six hundred forty".