83430642240 has 504 divisors, whose sum is σ = 325643345664. Its totient is φ = 19570636800.

The previous prime is 83430642203. The next prime is 83430642259. The reversal of 83430642240 is 4224603438.

83430642240 is a `hidden beast` number, since 8 + 3 + 4 + 3 + 0 + 642 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83430642195 and 83430642204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10799019 + ... + 10806741.

Almost surely, 2^83430642240 is an apocalyptic number.

83430642240 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 83430642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162821672832).

83430642240 is an abundant number, since it is smaller than the sum of its proper divisors (242212703424).

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

83430642240 is a wasteful number, since it uses less digits than its factorization.

83430642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7799 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 83430642240 in words is "eighty-three billion, four hundred thirty million, six hundred forty-two thousand, two hundred forty".