84864791232 has 588 divisors, whose sum is σ = 280442639520. Its totient is φ = 25445062656.

The previous prime is 84864791227. The next prime is 84864791239. The reversal of 84864791232 is 23219746848.

84864791232 is a `hidden beast` number, since 8 + 48 + 6 + 479 + 123 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (84864791239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 370588494 + ... + 370588722.

Almost surely, 2^84864791232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84864791232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140221319760).

84864791232 is an abundant number, since it is smaller than the sum of its proper divisors (195577848288).

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

84864791232 is a wasteful number, since it uses less digits than its factorization.

84864791232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 294 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

It can be divided in two parts, 84864 and 791232, that added together give a square (876096 = 936²).

The spelling of 84864791232 in words is "eighty-four billion, eight hundred sixty-four million, seven hundred ninety-one thousand, two hundred thirty-two".