820478736000 has 2592 divisors, whose sum is σ = 3892995271620. Its totient is φ = 164989440000.

The previous prime is 820478735987. The next prime is 820478736043. The reversal of 820478736000 is 637874028.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

820478736000 is a `hidden beast` number, since 8 + 204 + 7 + 87 + 360 + 0 + 0 = 666.

820478736000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 554643625536 + 265835110464 = 744744^2 + 515592^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 26467055985 + ... + 26467056015.

Almost surely, 2^820478736000 is an apocalyptic number.

820478736000 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 820478736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946497635810).

820478736000 is an abundant number, since it is smaller than the sum of its proper divisors (3072516535620).

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

820478736000 is a wasteful number, since it uses less digits than its factorization.

820478736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 820478736000 in words is "eight hundred twenty billion, four hundred seventy-eight million, seven hundred thirty-six thousand".