84008420697648 has 160 divisors (see below), whose sum is σ = 241889870557440. Its totient is φ = 24967617085440.

The previous prime is 84008420697647. The next prime is 84008420697689. The reversal of 84008420697648 is 84679602480048.

It is a happy number.

It is a super-2 number, since 2×84008420697648² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84008420697647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591825243 + ... + 591967173.

It is an arithmetic number, because the mean of its divisors is an integer number (1511811690984).

Almost surely, 2^{84008420697648} 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 84008420697648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120944935278720).

84008420697648 is an abundant number, since it is smaller than the sum of its proper divisors (157881449859792).

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

84008420697648 is a wasteful number, since it uses less digits than its factorization.

84008420697648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180155 (or 180149 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 66.

The spelling of 84008420697648 in words is "eighty-four trillion, eight billion, four hundred twenty million, six hundred ninety-seven thousand, six hundred forty-eight".