84749479200 has 576 divisors, whose sum is σ = 313906158720. Its totient is φ = 22061445120.

The previous prime is 84749479153. The next prime is 84749479201. The reversal of 84749479200 is 297494748.

It is a happy number.

84749479200 is a `hidden beast` number, since 84 + 7 + 494 + 79 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (84749479201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227210214 + ... + 227210586.

It is an arithmetic number, because the mean of its divisors is an integer number (544975970).

Almost surely, 2^84749479200 is an apocalyptic number.

84749479200 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 84749479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156953079360).

84749479200 is an abundant number, since it is smaller than the sum of its proper divisors (229156679520).

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

84749479200 is a wasteful number, since it uses less digits than its factorization.

84749479200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 84749479200 in words is "eighty-four billion, seven hundred forty-nine million, four hundred seventy-nine thousand, two hundred".