84034780397568 has 2432 divisors, whose sum is σ = 346683730176000. Its totient is φ = 19405870202880.

The previous prime is 84034780397551. The next prime is 84034780397573. The reversal of 84034780397568 is 86579308743048.

84034780397568 is a `hidden beast` number, since 8 + 4 + 0 + 3 + 478 + 0 + 3 + 97 + 5 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 84034780397496 and 84034780397505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205464010548 + ... + 205464010956.

Almost surely, 2^{84034780397568} is an apocalyptic number.

84034780397568 is a gapful number since it is divisible by the number (88) 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 84034780397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173341865088000).

84034780397568 is an abundant number, since it is smaller than the sum of its proper divisors (262648949778432).

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

84034780397568 is a wasteful number, since it uses less digits than its factorization.

84034780397568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 84034780397568 in words is "eighty-four trillion, thirty-four billion, seven hundred eighty million, three hundred ninety-seven thousand, five hundred sixty-eight".