84970944000 has 800 divisors, whose sum is σ = 325800817056. Its totient is φ = 21996748800.

The previous prime is 84970943999. The next prime is 84970944007. The reversal of 84970944000 is 44907948.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×84970944000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84970944007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 191807779 + ... + 191808221.

Almost surely, 2^84970944000 is an apocalyptic number.

84970944000 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 84970944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162900408528).

84970944000 is an abundant number, since it is smaller than the sum of its proper divisors (240829873056).

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

84970944000 is an equidigital number, since it uses as much as digits as its factorization.

84970944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 84970944000 in words is "eighty-four billion, nine hundred seventy million, nine hundred forty-four thousand".