84699968221440 has 3456 divisors, whose sum is σ = 365689816128000. Its totient is φ = 17818441482240.

The previous prime is 84699968221417. The next prime is 84699968221441. The reversal of 84699968221440 is 4412286999648.

84699968221440 is a `hidden beast` number, since 8 + 4 + 6 + 99 + 96 + 8 + 2 + 2 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (84699968221441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 519631706799 + ... + 519631706961.

It is an arithmetic number, because the mean of its divisors is an integer number (105813025500).

Almost surely, 2^{84699968221440} is an apocalyptic number.

84699968221440 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 84699968221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182844908064000).

84699968221440 is an abundant number, since it is smaller than the sum of its proper divisors (280989847906560).

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

84699968221440 is a wasteful number, since it uses less digits than its factorization.

84699968221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 84699968221440 in words is "eighty-four trillion, six hundred ninety-nine billion, nine hundred sixty-eight million, two hundred twenty-one thousand, four hundred forty".