84970045440 has 760 divisors, whose sum is σ = 352446692880. Its totient is φ = 19421724672.

The previous prime is 84970045361. The next prime is 84970045451. The reversal of 84970045440 is 4454007948.

84970045440 is a `hidden beast` number, since 84 + 97 + 0 + 0 + 45 + 440 = 666.

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 39 ways as a sum of consecutive naturals, for example, 12138577917 + ... + 12138577923.

Almost surely, 2^84970045440 is an apocalyptic number.

84970045440 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 84970045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176223346440).

84970045440 is an abundant number, since it is smaller than the sum of its proper divisors (267476647440).

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

84970045440 is an frugal number, since it uses more digits than its factorization.

84970045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 84970045440 in words is "eighty-four billion, nine hundred seventy million, forty-five thousand, four hundred forty".