83273508864 has 1152 divisors, whose sum is σ = 326132352000. Its totient is φ = 20495794176.

The previous prime is 83273508863. The next prime is 83273508953. The reversal of 83273508864 is 46880537238.

83273508864 is a `hidden beast` number, since 8 + 3 + 2 + 73 + 508 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 83273508864.

It is not an unprimeable number, because it can be changed into a prime (83273508863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1242888159 + ... + 1242888225.

It is an arithmetic number, because the mean of its divisors is an integer number (283101000).

Almost surely, 2^83273508864 is an apocalyptic number.

83273508864 is a gapful number since it is divisible by the number (84) 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 83273508864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163066176000).

83273508864 is an abundant number, since it is smaller than the sum of its proper divisors (242858843136).

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

83273508864 is a wasteful number, since it uses less digits than its factorization.

83273508864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 83273508864 in words is "eighty-three billion, two hundred seventy-three million, five hundred eight thousand, eight hundred sixty-four".