84720047440 has 120 divisors (see below), whose sum is σ = 232553767392. Its totient is φ = 28613249280.

The previous prime is 84720047393. The next prime is 84720047443. The reversal of 84720047440 is 4474002748.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 84720047393 and 84720047402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84720047443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101355 + ... + 423925.

Almost surely, 2^84720047440 is an apocalyptic number.

84720047440 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 84720047440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116276883696).

84720047440 is an abundant number, since it is smaller than the sum of its proper divisors (147833719952).

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

84720047440 is a wasteful number, since it uses less digits than its factorization.

84720047440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322665 (or 322652 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 40.

The spelling of 84720047440 in words is "eighty-four billion, seven hundred twenty million, forty-seven thousand, four hundred forty".