84036468432 has 240 divisors, whose sum is σ = 257995005120. Its totient is φ = 23494109184.

The previous prime is 84036468421. The next prime is 84036468443. The reversal of 84036468432 is 23486463048.

It is an interprime number because it is at equal distance from previous prime (84036468421) and next prime (84036468443).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65194444 + ... + 65195732.

It is an arithmetic number, because the mean of its divisors is an integer number (1074979188).

Almost surely, 2^84036468432 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 84036468432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128997502560).

84036468432 is an abundant number, since it is smaller than the sum of its proper divisors (173958536688).

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

84036468432 is a wasteful number, since it uses less digits than its factorization.

84036468432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 84036468432 in words is "eighty-four billion, thirty-six million, four hundred sixty-eight thousand, four hundred thirty-two".