84732700510080 has 6144 divisors, whose sum is σ = 405078589440000. Its totient is φ = 16591082618880.

The previous prime is 84732700510019. The next prime is 84732700510093. The reversal of 84732700510080 is 8001500723748.

84732700510080 is a `hidden beast` number, since 8 + 473 + 2 + 70 + 0 + 5 + 100 + 8 + 0 = 666.

It is a super-2 number, since 2×84732700510080² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 767 ways as a sum of consecutive naturals, for example, 952052814676 + ... + 952052814764.

It is an arithmetic number, because the mean of its divisors is an integer number (65930760000).

Almost surely, 2^{84732700510080} is an apocalyptic number.

84732700510080 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 84732700510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202539294720000).

84732700510080 is an abundant number, since it is smaller than the sum of its proper divisors (320345888929920).

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

84732700510080 is a wasteful number, since it uses less digits than its factorization.

84732700510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 84732700510080 in words is "eighty-four trillion, seven hundred thirty-two billion, seven hundred million, five hundred ten thousand, eighty".