84880005304320 has 416 divisors, whose sum is σ = 301820400570240. Its totient is φ = 22630042828800.

The previous prime is 84880005304319. The next prime is 84880005304321. The reversal of 84880005304320 is 2340350008848.

84880005304320 is a `hidden beast` number, since 8 + 4 + 8 + 80 + 0 + 0 + 530 + 4 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84880005304319) and next prime (84880005304321).

It is a super-2 number, since 2×84880005304320² (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 not an unprimeable number, because it can be changed into a prime (84880005304321) 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, 3354795670 + ... + 3354820970.

Almost surely, 2^{84880005304320} is an apocalyptic number.

84880005304320 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 84880005304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150910200285120).

84880005304320 is an abundant number, since it is smaller than the sum of its proper divisors (216940395265920).

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

84880005304320 is a wasteful number, since it uses less digits than its factorization.

84880005304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31406 (or 31378 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 84880005304320 in words is "eighty-four trillion, eight hundred eighty billion, five million, three hundred four thousand, three hundred twenty".