84669442560 has 540 divisors, whose sum is σ = 308845948554. Its totient is φ = 22260510720.

The previous prime is 84669442519. The next prime is 84669442573. The reversal of 84669442560 is 6524496648.

84669442560 is a `hidden beast` number, since 8 + 466 + 94 + 42 + 56 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76202498304 + 8466944256 = 276048^2 + 92016^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×84669442560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84669442497 and 84669442506.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1192527325 + ... + 1192527395.

Almost surely, 2^84669442560 is an apocalyptic number.

84669442560 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 84669442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154422974277).

84669442560 is an abundant number, since it is smaller than the sum of its proper divisors (224176505994).

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

84669442560 is an frugal number, since it uses more digits than its factorization.

84669442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 84669442560 in words is "eighty-four billion, six hundred sixty-nine million, four hundred forty-two thousand, five hundred sixty".