8064248371200 has 2304 divisors, whose sum is σ = 37203618816000. Its totient is φ = 1669443747840.

The previous prime is 8064248371057. The next prime is 8064248371237. The reversal of 8064248371200 is 21738424608.

It is a happy number.

8064248371200 is a `hidden beast` number, since 8 + 0 + 6 + 42 + 483 + 7 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4228760647 + ... + 4228762553.

It is an arithmetic number, because the mean of its divisors is an integer number (16147404000).

Almost surely, 2^{8064248371200} is an apocalyptic number.

8064248371200 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 8064248371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18601809408000).

8064248371200 is an abundant number, since it is smaller than the sum of its proper divisors (29139370444800).

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

8064248371200 is a wasteful number, since it uses less digits than its factorization.

8064248371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 8064248371200 in words is "eight trillion, sixty-four billion, two hundred forty-eight million, three hundred seventy-one thousand, two hundred".