84319356240 has 320 divisors, whose sum is σ = 340896990720. Its totient is φ = 18751979520.

The previous prime is 84319356167. The next prime is 84319356263. The reversal of 84319356240 is 4265391348.

84319356240 is a `hidden beast` number, since 8 + 4 + 3 + 19 + 3 + 5 + 624 + 0 = 666.

It is a super-3 number, since 3×84319356240³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 484080 + ... + 634800.

It is an arithmetic number, because the mean of its divisors is an integer number (1065303096).

Almost surely, 2^84319356240 is an apocalyptic number.

84319356240 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 84319356240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170448495360).

84319356240 is an abundant number, since it is smaller than the sum of its proper divisors (256577634480).

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

84319356240 is a wasteful number, since it uses less digits than its factorization.

84319356240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150787 (or 150775 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 84319356240 in words is "eighty-four billion, three hundred nineteen million, three hundred fifty-six thousand, two hundred forty".