84680030880 has 240 divisors, whose sum is σ = 299399484384. Its totient is φ = 22539824640.

The previous prime is 84680030821. The next prime is 84680030909. The reversal of 84680030880 is 8803008648.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7394439 + ... + 7405881.

Almost surely, 2^84680030880 is an apocalyptic number.

84680030880 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 84680030880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149699742192).

84680030880 is an abundant number, since it is smaller than the sum of its proper divisors (214719453504).

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

84680030880 is a wasteful number, since it uses less digits than its factorization.

84680030880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12041 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 84680030880 in words is "eighty-four billion, six hundred eighty million, thirty thousand, eight hundred eighty".