16427715840 has 576 divisors, whose sum is σ = 62075462400. Its totient is φ = 4106059776.

The previous prime is 16427715823. The next prime is 16427715851. The reversal of 16427715840 is 4851772461.

16427715840 is a `hidden beast` number, since 1 + 64 + 2 + 7 + 7 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 37082659 + ... + 37083101.

It is an arithmetic number, because the mean of its divisors is an integer number (107769900).

Almost surely, 2^16427715840 is an apocalyptic number.

16427715840 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 16427715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31037731200).

16427715840 is an abundant number, since it is smaller than the sum of its proper divisors (45647746560).

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

16427715840 is a wasteful number, since it uses less digits than its factorization.

16427715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 16427715840 in words is "sixteen billion, four hundred twenty-seven million, seven hundred fifteen thousand, eight hundred forty".