8222819576400 has 1920 divisors, whose sum is σ = 37584474439680. Its totient is φ = 1675800576000.

The previous prime is 8222819576371. The next prime is 8222819576429. The reversal of 8222819576400 is 46759182228.

8222819576400 is a `hidden beast` number, since 8 + 2 + 2 + 2 + 81 + 95 + 76 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (8222819576371) and next prime (8222819576429).

It is a super-2 number, since 2×8222819576400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 813893749 + ... + 813903851.

It is an arithmetic number, because the mean of its divisors is an integer number (19575247104).

Almost surely, 2^{8222819576400} is an apocalyptic number.

8222819576400 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 8222819576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18792237219840).

8222819576400 is an abundant number, since it is smaller than the sum of its proper divisors (29361654863280).

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

8222819576400 is a wasteful number, since it uses less digits than its factorization.

8222819576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202 (or 10185 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 8222819576400 in words is "eight trillion, two hundred twenty-two billion, eight hundred nineteen million, five hundred seventy-six thousand, four hundred".