84100642560 has 432 divisors, whose sum is σ = 321041841120. Its totient is φ = 20156252160.

The previous prime is 84100642541. The next prime is 84100642567. The reversal of 84100642560 is 6524600148.

84100642560 is a `hidden beast` number, since 8 + 4 + 1 + 0 + 0 + 642 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84100642567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11274352 + ... + 11281808.

It is an arithmetic number, because the mean of its divisors is an integer number (743152410).

Almost surely, 2^84100642560 is an apocalyptic number.

84100642560 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 84100642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160520920560).

84100642560 is an abundant number, since it is smaller than the sum of its proper divisors (236941198560).

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

84100642560 is a wasteful number, since it uses less digits than its factorization.

84100642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 84100642560 in words is "eighty-four billion, one hundred million, six hundred forty-two thousand, five hundred sixty".