820974336000 has 1536 divisors, whose sum is σ = 3564799580160. Its totient is φ = 162791424000.

The previous prime is 820974335999. The next prime is 820974336011. The reversal of 820974336000 is 633479028.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1188095655 + ... + 1188096345.

It is an arithmetic number, because the mean of its divisors is an integer number (2320833060).

Almost surely, 2^820974336000 is an apocalyptic number.

820974336000 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 820974336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782399790080).

820974336000 is an abundant number, since it is smaller than the sum of its proper divisors (2743825244160).

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

820974336000 is a wasteful number, since it uses less digits than its factorization.

820974336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 820974336000 in words is "eight hundred twenty billion, nine hundred seventy-four million, three hundred thirty-six thousand".