84035604612960 has 1920 divisors, whose sum is σ = 406329073920000. Its totient is φ = 16118595440640.

The previous prime is 84035604612943. The next prime is 84035604612961. The reversal of 84035604612960 is 6921640653048.

84035604612960 is a `hidden beast` number, since 8 + 4 + 0 + 3 + 5 + 604 + 6 + 1 + 29 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84035604612897 and 84035604612906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84035604612961) 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 319 ways as a sum of consecutive naturals, for example, 635608941 + ... + 635741139.

It is an arithmetic number, because the mean of its divisors is an integer number (211629726000).

Almost surely, 2^{84035604612960} is an apocalyptic number.

84035604612960 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 84035604612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203164536960000).

84035604612960 is an abundant number, since it is smaller than the sum of its proper divisors (322293469307040).

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

84035604612960 is a wasteful number, since it uses less digits than its factorization.

84035604612960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132271 (or 132240 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 84035604612960 in words is "eighty-four trillion, thirty-five billion, six hundred four million, six hundred twelve thousand, nine hundred sixty".