8215790342400 has 567 divisors, whose sum is σ = 30512093058741. Its totient is φ = 2189226424320.

The previous prime is 8215790342393. The next prime is 8215790342407. The reversal of 8215790342400 is 42430975128.

The square root of 8215790342400 is 2866320.

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

8215790342400 is a `hidden beast` number, since 8 + 2 + 1 + 579 + 0 + 34 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8215790342393) and next prime (8215790342407).

It can be written as a sum of positive squares in only one way, i.e., 2957684523264 + 5258105819136 = 1719792^2 + 2293056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8215790342407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6191250537 + ... + 6191251863.

Almost surely, 2^{8215790342400} is an apocalyptic number.

8215790342400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8215790342400 is the 2866320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8215790342400

8215790342400 is an abundant number, since it is smaller than the sum of its proper divisors (22296302716341).

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

8215790342400 is an frugal number, since it uses more digits than its factorization.

8215790342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 8215790342400 in words is "eight trillion, two hundred fifteen billion, seven hundred ninety million, three hundred forty-two thousand, four hundred".