816034020480 has 1920 divisors, whose sum is σ = 3595585973760. Its totient is φ = 175575859200.

The previous prime is 816034020463. The next prime is 816034020491. The reversal of 816034020480 is 84020430618.

816034020480 is a `hidden beast` number, since 8 + 1 + 603 + 4 + 0 + 2 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3386033160 + ... + 3386033400.

It is an arithmetic number, because the mean of its divisors is an integer number (1872701028).

Almost surely, 2^816034020480 is an apocalyptic number.

816034020480 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 816034020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797792986880).

816034020480 is an abundant number, since it is smaller than the sum of its proper divisors (2779551953280).

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

816034020480 is a wasteful number, since it uses less digits than its factorization.

816034020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 816034020480 in words is "eight hundred sixteen billion, thirty-four million, twenty thousand, four hundred eighty".