6231032616960 has 576 divisors, whose sum is σ = 22327014528000. Its totient is φ = 1605503877120.

The previous prime is 6231032616899. The next prime is 6231032616967. The reversal of 6231032616960 is 696162301326.

6231032616960 is a `hidden beast` number, since 6 + 2 + 310 + 326 + 1 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6231032616967) 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, 2454127371 + ... + 2454129909.

It is an arithmetic number, because the mean of its divisors is an integer number (38762178000).

Almost surely, 2^{6231032616960} is an apocalyptic number.

6231032616960 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 6231032616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163507264000).

6231032616960 is an abundant number, since it is smaller than the sum of its proper divisors (16095981911040).

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

6231032616960 is a wasteful number, since it uses less digits than its factorization.

6231032616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 6231032616960 in words is "six trillion, two hundred thirty-one billion, thirty-two million, six hundred sixteen thousand, nine hundred sixty".