84506466240 has 1344 divisors, whose sum is σ = 368264724480. Its totient is φ = 18161418240.

The previous prime is 84506466223. The next prime is 84506466241. The reversal of 84506466240 is 4266460548.

84506466240 is a `hidden beast` number, since 8 + 4 + 506 + 46 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84506466241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 616835452 + ... + 616835588.

Almost surely, 2^84506466240 is an apocalyptic number.

84506466240 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 84506466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184132362240).

84506466240 is an abundant number, since it is smaller than the sum of its proper divisors (283758258240).

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

84506466240 is a wasteful number, since it uses less digits than its factorization.

84506466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 84506466240 in words is "eighty-four billion, five hundred six million, four hundred sixty-six thousand, two hundred forty".