816024608400 has 720 divisors, whose sum is σ = 2976875092800. Its totient is φ = 190309109760.

The previous prime is 816024608341. The next prime is 816024608461. The reversal of 816024608400 is 4806420618.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 349773634 + ... + 349775966.

It is an arithmetic number, because the mean of its divisors is an integer number (4134548740).

Almost surely, 2^816024608400 is an apocalyptic number.

816024608400 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 816024608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488437546400).

816024608400 is an abundant number, since it is smaller than the sum of its proper divisors (2160850484400).

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

816024608400 is a wasteful number, since it uses less digits than its factorization.

816024608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 816024608400 in words is "eight hundred sixteen billion, twenty-four million, six hundred eight thousand, four hundred".