84993480000 has 1260 divisors, whose sum is σ = 362443580928. Its totient is φ = 18869760000.

The previous prime is 84993479983. The next prime is 84993480067. The reversal of 84993480000 is 8439948.

It is a happy number.

84993480000 is a `hidden beast` number, since 84 + 9 + 93 + 480 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 669239937 + ... + 669240063.

Almost surely, 2^84993480000 is an apocalyptic number.

84993480000 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 84993480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181221790464).

84993480000 is an abundant number, since it is smaller than the sum of its proper divisors (277450100928).

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

84993480000 is a wasteful number, since it uses less digits than its factorization.

84993480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 84993480000 in words is "eighty-four billion, nine hundred ninety-three million, four hundred eighty thousand".