84090478348800 has 8640 divisors, whose sum is σ = 434899335911040. Its totient is φ = 15259926528000.

The previous prime is 84090478348769. The next prime is 84090478348801. The reversal of 84090478348800 is 884387409048.

84090478348800 is a `hidden beast` number, since 8 + 40 + 9 + 0 + 478 + 3 + 48 + 80 + 0 = 666.

It is a super-2 number, since 2×84090478348800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (84090478348801) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1255081766367 + ... + 1255081766433.

It is an arithmetic number, because the mean of its divisors is an integer number (50335571286).

Almost surely, 2^{84090478348800} is an apocalyptic number.

84090478348800 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 84090478348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217449667955520).

84090478348800 is an abundant number, since it is smaller than the sum of its proper divisors (350808857562240).

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

84090478348800 is a wasteful number, since it uses less digits than its factorization.

84090478348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 84090478348800 in words is "eighty-four trillion, ninety billion, four hundred seventy-eight million, three hundred forty-eight thousand, eight hundred".