83746368000 has 480 divisors, whose sum is σ = 303229967040. Its totient is φ = 22214860800.

The previous prime is 83746367983. The next prime is 83746368071. The reversal of 83746368000 is 86364738.

83746368000 is a `hidden beast` number, since 8 + 3 + 7 + 4 + 636 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 199871791 + ... + 199872209.

It is an arithmetic number, because the mean of its divisors is an integer number (631729098).

Almost surely, 2^83746368000 is an apocalyptic number.

83746368000 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 83746368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151614983520).

83746368000 is an abundant number, since it is smaller than the sum of its proper divisors (219483599040).

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

83746368000 is a wasteful number, since it uses less digits than its factorization.

83746368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 83746368000 in words is "eighty-three billion, seven hundred forty-six million, three hundred sixty-eight thousand".