8022630938400 has 4320 divisors, whose sum is σ = 36786243529728. Its totient is φ = 1684990771200.

The previous prime is 8022630938393. The next prime is 8022630938417. The reversal of 8022630938400 is 48390362208.

8022630938400 is a `hidden beast` number, since 8 + 0 + 2 + 2 + 630 + 9 + 3 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 719 ways as a sum of consecutive naturals, for example, 216827863182 + ... + 216827863218.

Almost surely, 2^{8022630938400} is an apocalyptic number.

8022630938400 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 8022630938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18393121764864).

8022630938400 is an abundant number, since it is smaller than the sum of its proper divisors (28763612591328).

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

8022630938400 is a wasteful number, since it uses less digits than its factorization.

8022630938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 8022630938400 in words is "eight trillion, twenty-two billion, six hundred thirty million, nine hundred thirty-eight thousand, four hundred".