6321062460240 has 240 divisors, whose sum is σ = 23186033320320. Its totient is φ = 1530528721920.

The previous prime is 6321062460239. The next prime is 6321062460241. The reversal of 6321062460240 is 420642601236.

6321062460240 is a `hidden beast` number, since 6 + 3 + 2 + 1 + 0 + 6 + 2 + 4 + 602 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6321062460239) and next prime (6321062460241).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6321062460195 and 6321062460204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6321062460241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6084309 + ... + 7047051.

It is an arithmetic number, because the mean of its divisors is an integer number (96608472168).

Almost surely, 2^{6321062460240} is an apocalyptic number.

6321062460240 is a gapful number since it is divisible by the number (60) 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 6321062460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11593016660160).

6321062460240 is an abundant number, since it is smaller than the sum of its proper divisors (16864970860080).

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

6321062460240 is a wasteful number, since it uses less digits than its factorization.

6321062460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963602 (or 963593 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 6321062460240 in words is "six trillion, three hundred twenty-one billion, sixty-two million, four hundred sixty thousand, two hundred forty".