7281662300640 has 1152 divisors, whose sum is σ = 32391226183680. Its totient is φ = 1503628075008.

The previous prime is 7281662300431. The next prime is 7281662300677. The reversal of 7281662300640 is 460032661827.

7281662300640 is a `hidden beast` number, since 7 + 2 + 8 + 16 + 623 + 0 + 0 + 6 + 4 + 0 = 666.

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, 166267866 + ... + 166311654.

It is an arithmetic number, because the mean of its divisors is an integer number (28117383840).

Almost surely, 2^{7281662300640} is an apocalyptic number.

7281662300640 is a gapful number since it is divisible by the number (70) 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 7281662300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16195613091840).

7281662300640 is an abundant number, since it is smaller than the sum of its proper divisors (25109563883040).

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

7281662300640 is a wasteful number, since it uses less digits than its factorization.

7281662300640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43886 (or 43866 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 7281662300640 in words is "seven trillion, two hundred eighty-one billion, six hundred sixty-two million, three hundred thousand, six hundred forty".