84472214400 has 576 divisors, whose sum is σ = 350173792800. Its totient is φ = 18988646400.

The previous prime is 84472214383. The next prime is 84472214417. The reversal of 84472214400 is 441227448.

It is an interprime number because it is at equal distance from previous prime (84472214383) and next prime (84472214417).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12294166 + ... + 12301034.

Almost surely, 2^84472214400 is an apocalyptic number.

84472214400 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 84472214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175086896400).

84472214400 is an abundant number, since it is smaller than the sum of its proper divisors (265701578400).

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

84472214400 is a wasteful number, since it uses less digits than its factorization.

84472214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6967 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 84472214400 in words is "eighty-four billion, four hundred seventy-two million, two hundred fourteen thousand, four hundred".