7284968064000 has 1408 divisors, whose sum is σ = 29797507584000. Its totient is φ = 1740533760000.

The previous prime is 7284968063959. The next prime is 7284968064053. The reversal of 7284968064000 is 4608694827.

7284968064000 is a `hidden beast` number, since 72 + 8 + 4 + 96 + 80 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2699134651 + ... + 2699137349.

Almost surely, 2^{7284968064000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7284968064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898753792000).

7284968064000 is an abundant number, since it is smaller than the sum of its proper divisors (22512539520000).

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

7284968064000 is a wasteful number, since it uses less digits than its factorization.

7284968064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 7284968064000 in words is "seven trillion, two hundred eighty-four billion, nine hundred sixty-eight million, sixty-four thousand".