819464966400 has 648 divisors, whose sum is σ = 2841329455776. Its totient is φ = 207866265600.

The previous prime is 819464966377. The next prime is 819464966423. The reversal of 819464966400 is 4669464918.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (819464966377) and next prime (819464966423).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1455532519 + ... + 1455533081.

Almost surely, 2^819464966400 is an apocalyptic number.

819464966400 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 819464966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420664727888).

819464966400 is an abundant number, since it is smaller than the sum of its proper divisors (2021864489376).

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

819464966400 is a wasteful number, since it uses less digits than its factorization.

819464966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 819464966400 in words is "eight hundred nineteen billion, four hundred sixty-four million, nine hundred sixty-six thousand, four hundred".