83814700320 has 768 divisors, whose sum is σ = 333319795200. Its totient is φ = 19523911680.

The previous prime is 83814700261. The next prime is 83814700351. The reversal of 83814700320 is 2300741838.

83814700320 is a `hidden beast` number, since 83 + 81 + 470 + 0 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86317435 + ... + 86318405.

It is an arithmetic number, because the mean of its divisors is an integer number (434010150).

Almost surely, 2^83814700320 is an apocalyptic number.

83814700320 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 83814700320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166659897600).

83814700320 is an abundant number, since it is smaller than the sum of its proper divisors (249505094880).

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

83814700320 is a wasteful number, since it uses less digits than its factorization.

83814700320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 83814700320 in words is "eighty-three billion, eight hundred fourteen million, seven hundred thousand, three hundred twenty".