84670518240 has 2880 divisors, whose sum is σ = 432480964608. Its totient is φ = 15328051200.

The previous prime is 84670518221. The next prime is 84670518287. The reversal of 84670518240 is 4281507648.

84670518240 is a `hidden beast` number, since 8 + 46 + 70 + 518 + 24 + 0 = 666.

It is a super-3 number, since 3×84670518240³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2731307025 + ... + 2731307055.

Almost surely, 2^84670518240 is an apocalyptic number.

84670518240 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 84670518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216240482304).

84670518240 is an abundant number, since it is smaller than the sum of its proper divisors (347810446368).

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

84670518240 is a wasteful number, since it uses less digits than its factorization.

84670518240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 84670518240 in words is "eighty-four billion, six hundred seventy million, five hundred eighteen thousand, two hundred forty".