83292477840 has 960 divisors, whose sum is σ = 363261749760. Its totient is φ = 16771645440.

The previous prime is 83292477839. The next prime is 83292477847. The reversal of 83292477840 is 4877429238.

It is a happy number.

83292477840 is a `hidden beast` number, since 8 + 3 + 2 + 92 + 477 + 84 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (83292477847) 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 191 ways as a sum of consecutive naturals, for example, 40256326 + ... + 40258394.

It is an arithmetic number, because the mean of its divisors is an integer number (378397656).

Almost surely, 2^83292477840 is an apocalyptic number.

83292477840 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 83292477840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181630874880).

83292477840 is an abundant number, since it is smaller than the sum of its proper divisors (279969271920).

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

83292477840 is a wasteful number, since it uses less digits than its factorization.

83292477840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 83292477840 in words is "eighty-three billion, two hundred ninety-two million, four hundred seventy-seven thousand, eight hundred forty".