84303977472 has 352 divisors, whose sum is σ = 293329532160. Its totient is φ = 23580426240.

The previous prime is 84303977467. The next prime is 84303977491. The reversal of 84303977472 is 27477930348.

84303977472 is a `hidden beast` number, since 84 + 3 + 0 + 3 + 97 + 7 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3943003 + ... + 3964325.

Almost surely, 2^84303977472 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 84303977472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146664766080).

84303977472 is an abundant number, since it is smaller than the sum of its proper divisors (209025554688).

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

84303977472 is a wasteful number, since it uses less digits than its factorization.

84303977472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21376 (or 21352 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 84303977472 in words is "eighty-four billion, three hundred three million, nine hundred seventy-seven thousand, four hundred seventy-two".