83700504742320 has 800 divisors, whose sum is σ = 308545376832000. Its totient is φ = 20970126692352.

The previous prime is 83700504742259. The next prime is 83700504742333. The reversal of 83700504742320 is 2324740500738.

83700504742320 is a `hidden beast` number, since 8 + 3 + 70 + 0 + 504 + 7 + 42 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23597546787 + ... + 23597550333.

It is an arithmetic number, because the mean of its divisors is an integer number (385681721040).

Almost surely, 2^{83700504742320} is an apocalyptic number.

83700504742320 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 83700504742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154272688416000).

83700504742320 is an abundant number, since it is smaller than the sum of its proper divisors (224844872089680).

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

83700504742320 is a wasteful number, since it uses less digits than its factorization.

83700504742320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 83700504742320 in words is "eighty-three trillion, seven hundred billion, five hundred four million, seven hundred forty-two thousand, three hundred twenty".