84742518720 has 112 divisors (see below), whose sum is σ = 269761167360. Its totient is φ = 22538904576.

The previous prime is 84742518709. The next prime is 84742518737. The reversal of 84742518720 is 2781524748.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84742518720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252441 + ... + 482919.

Almost surely, 2^84742518720 is an apocalyptic number.

84742518720 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 84742518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134880583680).

84742518720 is an abundant number, since it is smaller than the sum of its proper divisors (185018648640).

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

84742518720 is a wasteful number, since it uses less digits than its factorization.

84742518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230882 (or 230872 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 84742518720 in words is "eighty-four billion, seven hundred forty-two million, five hundred eighteen thousand, seven hundred twenty".