84903436800 has 1620 divisors, whose sum is σ = 387034014510. Its totient is φ = 17712414720.

The previous prime is 84903436799. The next prime is 84903436801. The reversal of 84903436800 is 863430948.

It is an interprime number because it is at equal distance from previous prime (84903436799) and next prime (84903436801).

It can be written as a sum of positive squares in 9 ways, for example, as 7690588416 + 77212848384 = 87696^2 + 277872^2 .

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 (84903436801) by changing a digit.

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 161 ways as a sum of consecutive naturals, for example, 953971156 + ... + 953971244.

Almost surely, 2^84903436800 is an apocalyptic number.

84903436800 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 84903436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193517007255).

84903436800 is an abundant number, since it is smaller than the sum of its proper divisors (302130577710).

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

84903436800 is a wasteful number, since it uses less digits than its factorization.

84903436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 84903436800 in words is "eighty-four billion, nine hundred three million, four hundred thirty-six thousand, eight hundred".