84064815360000 has 1920 divisors, whose sum is σ = 318325303296000. Its totient is φ = 21909823488000.

The previous prime is 84064815359983. The next prime is 84064815360067. The reversal of 84064815360000 is 6351846048.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 469635839911 + ... + 469635840089.

It is an arithmetic number, because the mean of its divisors is an integer number (165794428800).

Almost surely, 2^{84064815360000} is an apocalyptic number.

84064815360000 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 84064815360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159162651648000).

84064815360000 is an abundant number, since it is smaller than the sum of its proper divisors (234260487936000).

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

84064815360000 is a wasteful number, since it uses less digits than its factorization.

84064815360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 84064815360000 in words is "eighty-four trillion, sixty-four billion, eight hundred fifteen million, three hundred sixty thousand".