84392017920 has 720 divisors, whose sum is σ = 344985369300. Its totient is φ = 19025362944.

The previous prime is 84392017901. The next prime is 84392017949. The reversal of 84392017920 is 2971029348.

84392017920 is a `hidden beast` number, since 8 + 439 + 20 + 179 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84276412416 + 115605504 = 290304^2 + 10752^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×84392017920² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1156055004 + ... + 1156055076.

Almost surely, 2^84392017920 is an apocalyptic number.

84392017920 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 84392017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172492684650).

84392017920 is an abundant number, since it is smaller than the sum of its proper divisors (260593351380).

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

84392017920 is an frugal number, since it uses more digits than its factorization.

84392017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 84392017920 in words is "eighty-four billion, three hundred ninety-two million, seventeen thousand, nine hundred twenty".