7463213405340 has 576 divisors, whose sum is σ = 26739864281088. Its totient is φ = 1537897536000.

The previous prime is 7463213405273. The next prime is 7463213405341. The reversal of 7463213405340 is 435043123647.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7463213405292 and 7463213405301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7463213405341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4331521719 + ... + 4331523441.

It is an arithmetic number, because the mean of its divisors is an integer number (46423375488).

Almost surely, 2^{7463213405340} is an apocalyptic number.

7463213405340 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 7463213405340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369932140544).

7463213405340 is an abundant number, since it is smaller than the sum of its proper divisors (19276650875748).

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

7463213405340 is a wasteful number, since it uses less digits than its factorization.

7463213405340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

Adding to 7463213405340 its reverse (435043123647), we get a palindrome (7898256528987).

The spelling of 7463213405340 in words is "seven trillion, four hundred sixty-three billion, two hundred thirteen million, four hundred five thousand, three hundred forty".