84665119842072 has 480 divisors, whose sum is σ = 299393142048000. Its totient is φ = 21880404754560.

The previous prime is 84665119842059. The next prime is 84665119842091. The reversal of 84665119842072 is 27024891156648.

It is a happy number.

84665119842072 is a `hidden beast` number, since 8 + 4 + 6 + 6 + 51 + 1 + 98 + 420 + 72 = 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 119 ways as a sum of consecutive naturals, for example, 108834763 + ... + 109609925.

It is an arithmetic number, because the mean of its divisors is an integer number (623735712600).

Almost surely, 2^{84665119842072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84665119842072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149696571024000).

84665119842072 is an abundant number, since it is smaller than the sum of its proper divisors (214728022205928).

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

84665119842072 is a wasteful number, since it uses less digits than its factorization.

84665119842072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775409 (or 775385 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 84665119842072 in words is "eighty-four trillion, six hundred sixty-five billion, one hundred nineteen million, eight hundred forty-two thousand, seventy-two".