8199746790400 has 297 divisors, whose sum is σ = 22354929002217. Its totient is φ = 2979893452800.

The previous prime is 8199746790397. The next prime is 8199746790409. The reversal of 8199746790400 is 40976479918.

The square root of 8199746790400 is 2863520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2951908844544 + 5247837945856 = 1718112^2 + 2290816^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8199746790409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5039794387 + ... + 5039796013.

Almost surely, 2^{8199746790400} is an apocalyptic number.

8199746790400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8199746790400 is the 2863520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8199746790400

8199746790400 is an abundant number, since it is smaller than the sum of its proper divisors (14155182211817).

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

8199746790400 is an equidigital number, since it uses as much as digits as its factorization.

8199746790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 64.

Multiplying 8199746790400 by its sum of digits (64), we get a square (524783794585600 = 22908160²).

8199746790400 divided by its sum of digits (64) gives a square (128121043600 = 357940²).

The spelling of 8199746790400 in words is "eight trillion, one hundred ninety-nine billion, seven hundred forty-six million, seven hundred ninety thousand, four hundred".