16642777536 has 672 divisors, whose sum is σ = 62656151040. Its totient is φ = 4239544320.

The previous prime is 16642777531. The next prime is 16642777537. The reversal of 16642777536 is 63577724661.

It is a happy number.

16642777536 is a `hidden beast` number, since 1 + 66 + 42 + 7 + 7 + 7 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×16642777536² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8890560) is a multiple of the sum of its prime factors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16642777531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121480060 + ... + 121480196.

It is an arithmetic number, because the mean of its divisors is an integer number (93238320).

Almost surely, 2^16642777536 is an apocalyptic number.

16642777536 is a gapful number since it is divisible by the number (16) 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 16642777536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31328075520).

16642777536 is an abundant number, since it is smaller than the sum of its proper divisors (46013373504).

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

16642777536 is a wasteful number, since it uses less digits than its factorization.

16642777536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 243 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 16642777536 in words is "sixteen billion, six hundred forty-two million, seven hundred seventy-seven thousand, five hundred thirty-six".