84989004937760 has 1152 divisors, whose sum is σ = 270151015034880. Its totient is φ = 24659002368000.

The previous prime is 84989004937751. The next prime is 84989004937763. The reversal of 84989004937760 is 6773940098948.

84989004937760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×84989004937760² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84989004937763) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72578141975 + ... + 72578143145.

It is an arithmetic number, because the mean of its divisors is an integer number (234506089440).

Almost surely, 2^{84989004937760} is an apocalyptic number.

84989004937760 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 84989004937760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135075507517440).

84989004937760 is an abundant number, since it is smaller than the sum of its proper divisors (185162010097120).

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

84989004937760 is a wasteful number, since it uses less digits than its factorization.

84989004937760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 74.

The spelling of 84989004937760 in words is "eighty-four trillion, nine hundred eighty-nine billion, four million, nine hundred thirty-seven thousand, seven hundred sixty".