8273919763200 has 432 divisors, whose sum is σ = 33606971960576. Its totient is φ = 1745705779200.

The previous prime is 8273919763147. The next prime is 8273919763211. The reversal of 8273919763200 is 23679193728.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620566 + ... + 4114965.

Almost surely, 2^{8273919763200} is an apocalyptic number.

8273919763200 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 8273919763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16803485980288).

8273919763200 is an abundant number, since it is smaller than the sum of its proper divisors (25333052197376).

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

8273919763200 is a wasteful number, since it uses less digits than its factorization.

8273919763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735580 (or 4735561 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 8273919763200 in words is "eight trillion, two hundred seventy-three billion, nine hundred nineteen million, seven hundred sixty-three thousand, two hundred".