83630126880 has 144 divisors (see below), whose sum is σ = 285804215424. Its totient is φ = 22268828160.

The previous prime is 83630126851. The next prime is 83630126887. The reversal of 83630126880 is 8862103638.

83630126880 is a `hidden beast` number, since 8 + 3 + 6 + 301 + 268 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (83630126887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953017 + ... + 1037063.

It is an arithmetic number, because the mean of its divisors is an integer number (1984751496).

Almost surely, 2^83630126880 is an apocalyptic number.

83630126880 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 83630126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142902107712).

83630126880 is an abundant number, since it is smaller than the sum of its proper divisors (202174088544).

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

83630126880 is a wasteful number, since it uses less digits than its factorization.

83630126880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84759 (or 84748 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 83630126880 in words is "eighty-three billion, six hundred thirty million, one hundred twenty-six thousand, eight hundred eighty".