8219976870400 has 480 divisors, whose sum is σ = 23226915792960. Its totient is φ = 2863465758720.

The previous prime is 8219976870317. The next prime is 8219976870433. The reversal of 8219976870400 is 40786799128.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177756082 + ... + 177802318.

It is an arithmetic number, because the mean of its divisors is an integer number (48389407902).

Almost surely, 2^{8219976870400} is an apocalyptic number.

8219976870400 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 8219976870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613457896480).

8219976870400 is an abundant number, since it is smaller than the sum of its proper divisors (15006938922560).

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

8219976870400 is a wasteful number, since it uses less digits than its factorization.

8219976870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46344 (or 46323 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 61.

The spelling of 8219976870400 in words is "eight trillion, two hundred nineteen billion, nine hundred seventy-six million, eight hundred seventy thousand, four hundred".