84664321280 has 288 divisors, whose sum is σ = 253688198400. Its totient is φ = 26300252160.

The previous prime is 84664321249. The next prime is 84664321289. The reversal of 84664321280 is 8212346648.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84664321289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33213446 + ... + 33215994.

It is an arithmetic number, because the mean of its divisors is an integer number (880861800).

Almost surely, 2^84664321280 is an apocalyptic number.

84664321280 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 84664321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126844099200).

84664321280 is an abundant number, since it is smaller than the sum of its proper divisors (169023877120).

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

84664321280 is a wasteful number, since it uses less digits than its factorization.

84664321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 84664321280 in words is "eighty-four billion, six hundred sixty-four million, three hundred twenty-one thousand, two hundred eighty".