84870401616 has 640 divisors, whose sum is σ = 331258798080. Its totient is φ = 20340149760.

The previous prime is 84870401587. The next prime is 84870401657. The reversal of 84870401616 is 61610407848.

84870401616 is a `hidden beast` number, since 8 + 487 + 0 + 4 + 0 + 161 + 6 = 666.

It is a super-2 number, since 2×84870401616² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35025781 + ... + 35028203.

It is an arithmetic number, because the mean of its divisors is an integer number (517591872).

Almost surely, 2^84870401616 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 84870401616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165629399040).

84870401616 is an abundant number, since it is smaller than the sum of its proper divisors (246388396464).

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

84870401616 is a wasteful number, since it uses less digits than its factorization.

84870401616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 84870401616 in words is "eighty-four billion, eight hundred seventy million, four hundred one thousand, six hundred sixteen".