84768014320000 has 640 divisors, whose sum is σ = 240962586289920. Its totient is φ = 29393126400000.

The previous prime is 84768014319953. The next prime is 84768014320051. The reversal of 84768014320000 is 2341086748.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6699433674 + ... + 6699446326.

It is an arithmetic number, because the mean of its divisors is an integer number (376504041078).

Almost surely, 2^{84768014320000} is an apocalyptic number.

84768014320000 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 84768014320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120481293144960).

84768014320000 is an abundant number, since it is smaller than the sum of its proper divisors (156194571969920).

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

84768014320000 is a wasteful number, since it uses less digits than its factorization.

84768014320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13052 (or 13025 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 84768014320000 in words is "eighty-four trillion, seven hundred sixty-eight billion, fourteen million, three hundred twenty thousand".