16271882640 has 720 divisors, whose sum is σ = 64003028544. Its totient is φ = 3818327040.

The previous prime is 16271882603. The next prime is 16271882717. The reversal of 16271882640 is 4628817261.

16271882640 is a `hidden beast` number, since 1 + 627 + 18 + 8 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 242863887 + ... + 242863953.

Almost surely, 2^16271882640 is an apocalyptic number.

16271882640 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 16271882640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32001514272).

16271882640 is an abundant number, since it is smaller than the sum of its proper divisors (47731145904).

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

16271882640 is a wasteful number, since it uses less digits than its factorization.

16271882640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 16271882640 in words is "sixteen billion, two hundred seventy-one million, eight hundred eighty-two thousand, six hundred forty".