84249962400 has 288 divisors, whose sum is σ = 277857216000. Its totient is φ = 22171438080.

The previous prime is 84249962369. The next prime is 84249962429. The reversal of 84249962400 is 426994248.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84249962400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123352459 + ... + 123353141.

It is an arithmetic number, because the mean of its divisors is an integer number (964782000).

Almost surely, 2^84249962400 is an apocalyptic number.

84249962400 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 84249962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138928608000).

84249962400 is an abundant number, since it is smaller than the sum of its proper divisors (193607253600).

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

84249962400 is a wasteful number, since it uses less digits than its factorization.

84249962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 84249962400 in words is "eighty-four billion, two hundred forty-nine million, nine hundred sixty-two thousand, four hundred".