84740947200 has 1728 divisors, whose sum is σ = 406219000320. Its totient is φ = 16774594560.

The previous prime is 84740947163. The next prime is 84740947201. The reversal of 84740947200 is 274904748.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (84740947201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267321442 + ... + 267321758.

It is an arithmetic number, because the mean of its divisors is an integer number (235080440).

Almost surely, 2^84740947200 is an apocalyptic number.

84740947200 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 84740947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203109500160).

84740947200 is an abundant number, since it is smaller than the sum of its proper divisors (321478053120).

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

84740947200 is a wasteful number, since it uses less digits than its factorization.

84740947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 84740947200 in words is "eighty-four billion, seven hundred forty million, nine hundred forty-seven thousand, two hundred".