84078867796560 has 720 divisors, whose sum is σ = 366779607352704. Its totient is φ = 16806043109376.

The previous prime is 84078867796501. The next prime is 84078867796607. The reversal of 84078867796560 is 6569776887048.

84078867796560 is a `hidden beast` number, since 8 + 40 + 7 + 8 + 8 + 6 + 7 + 7 + 9 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 84078867796560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21875359 + ... + 25430081.

Almost surely, 2^{84078867796560} is an apocalyptic number.

84078867796560 is a gapful number since it is divisible by the number (80) 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 84078867796560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183389803676352).

84078867796560 is an abundant number, since it is smaller than the sum of its proper divisors (282700739556144).

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

84078867796560 is a wasteful number, since it uses less digits than its factorization.

84078867796560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554800 (or 3554772 counting only the distinct ones).

The product of its (nonzero) digits is 6827950080, while the sum is 81.

The spelling of 84078867796560 in words is "eighty-four trillion, seventy-eight billion, eight hundred sixty-seven million, seven hundred ninety-six thousand, five hundred sixty".