84383907840 has 540 divisors, whose sum is σ = 305692124556. Its totient is φ = 22359048192.

The previous prime is 84383907827. The next prime is 84383907847. The reversal of 84383907840 is 4870938348.

It can be written as a sum of positive squares in 2 ways, for example, as 27518828544 + 56865079296 = 165888^2 + 238464^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×84383907840² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (84383907847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 537477042 + ... + 537477198.

Almost surely, 2^84383907840 is an apocalyptic number.

84383907840 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 84383907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152846062278).

84383907840 is an abundant number, since it is smaller than the sum of its proper divisors (221308216716).

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

84383907840 is an frugal number, since it uses more digits than its factorization.

84383907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 84383907840 in words is "eighty-four billion, three hundred eighty-three million, nine hundred seven thousand, eight hundred forty".