84688729767936 has 384 divisors, whose sum is σ = 283541529024000. Its totient is φ = 23855938928640.

The previous prime is 84688729767911. The next prime is 84688729767937. The reversal of 84688729767936 is 63976792788648.

It is a happy number.

84688729767936 is a `hidden beast` number, since 8 + 468 + 8 + 7 + 2 + 9 + 76 + 79 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84688729767937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146282365 + ... + 146860163.

It is an arithmetic number, because the mean of its divisors is an integer number (738389398500).

Almost surely, 2^{84688729767936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84688729767936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141770764512000).

84688729767936 is an abundant number, since it is smaller than the sum of its proper divisors (198852799256064).

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

84688729767936 is an equidigital number, since it uses as much as digits as its factorization.

84688729767936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577913 (or 577882 counting only the distinct ones).

The product of its digits is 73741860864, while the sum is 90.

The spelling of 84688729767936 in words is "eighty-four trillion, six hundred eighty-eight billion, seven hundred twenty-nine million, seven hundred sixty-seven thousand, nine hundred thirty-six".