84804249600 has 864 divisors, whose sum is σ = 353609867520. Its totient is φ = 19021824000.

The previous prime is 84804249589. The next prime is 84804249611. The reversal of 84804249600 is 694240848.

84804249600 is a `hidden beast` number, since 84 + 80 + 4 + 2 + 496 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84804249589) and next prime (84804249611).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 196761385 + ... + 196761815.

It is an arithmetic number, because the mean of its divisors is an integer number (409270680).

Almost surely, 2^84804249600 is an apocalyptic number.

84804249600 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 84804249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176804933760).

84804249600 is an abundant number, since it is smaller than the sum of its proper divisors (268805617920).

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

84804249600 is a wasteful number, since it uses less digits than its factorization.

84804249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 84804249600 in words is "eighty-four billion, eight hundred four million, two hundred forty-nine thousand, six hundred".