84002628960 has 192 divisors, whose sum is σ = 294416156160. Its totient is φ = 22369697280.

The previous prime is 84002628959. The next prime is 84002628977. The reversal of 84002628960 is 6982620048.

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 31 ways as a sum of consecutive naturals, for example, 3196675 + ... + 3222845.

It is an arithmetic number, because the mean of its divisors is an integer number (1533417480).

Almost surely, 2^84002628960 is an apocalyptic number.

84002628960 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 84002628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147208078080).

84002628960 is an abundant number, since it is smaller than the sum of its proper divisors (210413527200).

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

84002628960 is a wasteful number, since it uses less digits than its factorization.

84002628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26938 (or 26924 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 84002628960 in words is "eighty-four billion, two million, six hundred twenty-eight thousand, nine hundred sixty".