83959476480 has 1152 divisors, whose sum is σ = 343596072960. Its totient is φ = 19229736960.

The previous prime is 83959476451. The next prime is 83959476487. The reversal of 83959476480 is 8467495938.

83959476480 is a `hidden beast` number, since 8 + 39 + 59 + 4 + 76 + 480 = 666.

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83959476487) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 661098177 + ... + 661098303.

It is an arithmetic number, because the mean of its divisors is an integer number (298260480).

Almost surely, 2^83959476480 is an apocalyptic number.

83959476480 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 83959476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171798036480).

83959476480 is an abundant number, since it is smaller than the sum of its proper divisors (259636596480).

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

83959476480 is a wasteful number, since it uses less digits than its factorization.

83959476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 83959476480 in words is "eighty-three billion, nine hundred fifty-nine million, four hundred seventy-six thousand, four hundred eighty".