83946717066240 has 880 divisors, whose sum is σ = 354881938904064. Its totient is φ = 18568839168000.

The previous prime is 83946717066211. The next prime is 83946717066253. The reversal of 83946717066240 is 4266071764938.

It is a happy number.

83946717066240 is a `hidden beast` number, since 8 + 3 + 9 + 467 + 1 + 70 + 6 + 62 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89527840 + ... + 90460640.

Almost surely, 2^{83946717066240} is an apocalyptic number.

83946717066240 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 83946717066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177440969452032).

83946717066240 is an abundant number, since it is smaller than the sum of its proper divisors (270935221837824).

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

83946717066240 is a wasteful number, since it uses less digits than its factorization.

83946717066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932876 (or 932849 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 83946717066240 in words is "eighty-three trillion, nine hundred forty-six billion, seven hundred seventeen million, sixty-six thousand, two hundred forty".