16742038560 has 768 divisors, whose sum is σ = 63207309312. Its totient is φ = 3690086400.

The previous prime is 16742038541. The next prime is 16742038567. The reversal of 16742038560 is 6583024761.

It is not an unprimeable number, because it can be changed into a prime (16742038567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235803325 + ... + 235803395.

It is an arithmetic number, because the mean of its divisors is an integer number (82301184).

Almost surely, 2^16742038560 is an apocalyptic number.

16742038560 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 16742038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31603654656).

16742038560 is an abundant number, since it is smaller than the sum of its proper divisors (46465270752).

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

16742038560 is a wasteful number, since it uses less digits than its factorization.

16742038560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 16742038560 in words is "sixteen billion, seven hundred forty-two million, thirty-eight thousand, five hundred sixty".