84396937968 has 240 divisors, whose sum is σ = 276369739776. Its totient is φ = 23543170560.

The previous prime is 84396937967. The next prime is 84396937991. The reversal of 84396937968 is 86973969348.

84396937968 is a `hidden beast` number, since 8 + 439 + 69 + 3 + 79 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 84396937896 and 84396937905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84396937967) 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, 11268721 + ... + 11276207.

Almost surely, 2^84396937968 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 84396937968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138184869888).

84396937968 is an abundant number, since it is smaller than the sum of its proper divisors (191972801808).

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

84396937968 is a wasteful number, since it uses less digits than its factorization.

84396937968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 7763 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 84396937968 in words is "eighty-four billion, three hundred ninety-six million, nine hundred thirty-seven thousand, nine hundred sixty-eight".