8374657210000 has 225 divisors, whose sum is σ = 20789270967069. Its totient is φ = 3267097344000.

The previous prime is 8374657209937. The next prime is 8374657210013. The reversal of 8374657210000 is 127564738.

The square root of 8374657210000 is 2893900.

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

It can be written as a sum of positive squares in 7 ways, for example, as 7519638902416 + 855018307584 = 2742196^2 + 924672^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12443769664 + ... + 12443770336.

Almost surely, 2^{8374657210000} is an apocalyptic number.

8374657210000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8374657210000 is the 2893900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8374657210000

8374657210000 is an abundant number, since it is smaller than the sum of its proper divisors (12414613757069).

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

8374657210000 is an frugal number, since it uses more digits than its factorization.

8374657210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 8374657210000 in words is "eight trillion, three hundred seventy-four billion, six hundred fifty-seven million, two hundred ten thousand".