84633120000 has 1440 divisors, whose sum is σ = 370101029760. Its totient is φ = 18800640000.

The previous prime is 84633119969. The next prime is 84633120023. The reversal of 84633120000 is 2133648.

It is a happy number.

84633120000 is a `hidden beast` number, since 8 + 4 + 633 + 1 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 617759932 + ... + 617760068.

It is an arithmetic number, because the mean of its divisors is an integer number (257014604).

Almost surely, 2^84633120000 is an apocalyptic number.

84633120000 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 84633120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185050514880).

84633120000 is an abundant number, since it is smaller than the sum of its proper divisors (285467909760).

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

84633120000 is a wasteful number, since it uses less digits than its factorization.

84633120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 84633120000 its reverse (2133648), we get a palindrome (84635253648).

The spelling of 84633120000 in words is "eighty-four billion, six hundred thirty-three million, one hundred twenty thousand".