83461703040 has 384 divisors, whose sum is σ = 303066316800. Its totient is φ = 21134131200.

The previous prime is 83461703027. The next prime is 83461703051. The reversal of 83461703040 is 4030716438.

83461703040 is a `hidden beast` number, since 8 + 3 + 4 + 617 + 0 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 83461702986 and 83461703004.

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, 10185345 + ... + 10193535.

It is an arithmetic number, because the mean of its divisors is an integer number (789235200).

Almost surely, 2^83461703040 is an apocalyptic number.

83461703040 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 83461703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151533158400).

83461703040 is an abundant number, since it is smaller than the sum of its proper divisors (219604613760).

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

83461703040 is a wasteful number, since it uses less digits than its factorization.

83461703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 83461703040 in words is "eighty-three billion, four hundred sixty-one million, seven hundred three thousand, forty".