816643002470400 has 1872 divisors, whose sum is σ = 3480356217679744. Its totient is φ = 179124641464320.

The previous prime is 816643002470357. The next prime is 816643002470411. The reversal of 816643002470400 is 4074200346618.

816643002470400 is a `hidden beast` number, since 8 + 1 + 6 + 64 + 300 + 247 + 0 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17424667767 + ... + 17424714633.

Almost surely, 2^{816643002470400} is an apocalyptic number.

816643002470400 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 816643002470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740178108839872).

816643002470400 is an abundant number, since it is smaller than the sum of its proper divisors (2663713215209344).

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

816643002470400 is a wasteful number, since it uses less digits than its factorization.

816643002470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47024 (or 46994 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 816643002470400 in words is "eight hundred sixteen trillion, six hundred forty-three billion, two million, four hundred seventy thousand, four hundred".