84630418632 has 192 divisors, whose sum is σ = 239688408960. Its totient is φ = 26952883200.

The previous prime is 84630418577. The next prime is 84630418633. The reversal of 84630418632 is 23681403648.

84630418632 is a `hidden beast` number, since 8 + 4 + 6 + 3 + 0 + 4 + 1 + 8 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (84630418633) 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 47 ways as a sum of consecutive naturals, for example, 47358043 + ... + 47359829.

It is an arithmetic number, because the mean of its divisors is an integer number (1248377130).

Almost surely, 2^84630418632 is an apocalyptic number.

84630418632 is a gapful number since it is divisible by the number (82) 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 84630418632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119844204480).

84630418632 is an abundant number, since it is smaller than the sum of its proper divisors (155057990328).

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

84630418632 is a wasteful number, since it uses less digits than its factorization.

84630418632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 84630418632 in words is "eighty-four billion, six hundred thirty million, four hundred eighteen thousand, six hundred thirty-two".