83448386640 has 240 divisors, whose sum is σ = 289712457216. Its totient is φ = 21503462400.

The previous prime is 83448386639. The next prime is 83448386653. The reversal of 83448386640 is 4668384438.

83448386640 is a `hidden beast` number, since 83 + 4 + 483 + 86 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17786695 + ... + 17791385.

Almost surely, 2^83448386640 is an apocalyptic number.

83448386640 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 83448386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144856228608).

83448386640 is an abundant number, since it is smaller than the sum of its proper divisors (206264070576).

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

83448386640 is a wasteful number, since it uses less digits than its factorization.

83448386640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 83448386640 in words is "eighty-three billion, four hundred forty-eight million, three hundred eighty-six thousand, six hundred forty".