7287364191744 has 1920 divisors, whose sum is σ = 28755302400000. Its totient is φ = 1778475958272.

The previous prime is 7287364191733. The next prime is 7287364191769. The reversal of 7287364191744 is 4471914637827.

It is a happy number.

7287364191744 is a `hidden beast` number, since 7 + 2 + 87 + 364 + 191 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×7287364191744² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14603936007 + ... + 14603936505.

It is an arithmetic number, because the mean of its divisors is an integer number (14976720000).

Almost surely, 2^{7287364191744} 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 7287364191744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377651200000).

7287364191744 is an abundant number, since it is smaller than the sum of its proper divisors (21467938208256).

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

7287364191744 is a wasteful number, since it uses less digits than its factorization.

7287364191744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 590 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 7287364191744 in words is "seven trillion, two hundred eighty-seven billion, three hundred sixty-four million, one hundred ninety-one thousand, seven hundred forty-four".