84798230077440 has 672 divisors, whose sum is σ = 322006214642112. Its totient is φ = 20471611392000.

The previous prime is 84798230077273. The next prime is 84798230077441. The reversal of 84798230077440 is 4477003289748.

84798230077440 is a `hidden beast` number, since 8 + 4 + 7 + 98 + 2 + 30 + 0 + 77 + 440 = 666.

It is not an unprimeable number, because it can be changed into a prime (84798230077441) 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, 977221255 + ... + 977308025.

It is an arithmetic number, because the mean of its divisors is an integer number (479175914646).

Almost surely, 2^{84798230077440} is an apocalyptic number.

84798230077440 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 84798230077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161003107321056).

84798230077440 is an abundant number, since it is smaller than the sum of its proper divisors (237207984564672).

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

84798230077440 is a wasteful number, since it uses less digits than its factorization.

84798230077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87060 (or 87033 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 84798230077440 in words is "eighty-four trillion, seven hundred ninety-eight billion, two hundred thirty million, seventy-seven thousand, four hundred forty".