84015636480 has 672 divisors, whose sum is σ = 316013128704. Its totient is φ = 21371682816.

The previous prime is 84015636431. The next prime is 84015636487. The reversal of 84015636480 is 8463651048.

84015636480 is a `hidden beast` number, since 8 + 4 + 0 + 1 + 5 + 636 + 4 + 8 + 0 = 666.

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 (84015636487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228925257 + ... + 228925623.

It is an arithmetic number, because the mean of its divisors is an integer number (470257632).

Almost surely, 2^84015636480 is an apocalyptic number.

84015636480 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 84015636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158006564352).

84015636480 is an abundant number, since it is smaller than the sum of its proper divisors (231997492224).

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

84015636480 is an equidigital number, since it uses as much as digits as its factorization.

84015636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 84015636480 in words is "eighty-four billion, fifteen million, six hundred thirty-six thousand, four hundred eighty".