84267666756 has 144 divisors (see below), whose sum is σ = 263213129088. Its totient is φ = 22135680000.

The previous prime is 84267666751. The next prime is 84267666779. The reversal of 84267666756 is 65766676248.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 84267666693 and 84267666702.

It is not an unprimeable number, because it can be changed into a prime (84267666751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 771036 + ... + 873516.

It is an arithmetic number, because the mean of its divisors is an integer number (1827868952).

Almost surely, 2^84267666756 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 84267666756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131606564544).

84267666756 is an abundant number, since it is smaller than the sum of its proper divisors (178945462332).

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

84267666756 is a wasteful number, since it uses less digits than its factorization.

84267666756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102762 (or 102757 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 84267666756 in words is "eighty-four billion, two hundred sixty-seven million, six hundred sixty-six thousand, seven hundred fifty-six".