6232905469440 has 800 divisors, whose sum is σ = 24092968638816. Its totient is φ = 1530973716480.

The previous prime is 6232905469421. The next prime is 6232905469489. The reversal of 6232905469440 is 449645092326.

6232905469440 is a `hidden beast` number, since 6 + 2 + 3 + 2 + 9 + 0 + 546 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×6232905469440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1409838430 + ... + 1409842850.

Almost surely, 2^{6232905469440} is an apocalyptic number.

6232905469440 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 6232905469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12046484319408).

6232905469440 is an abundant number, since it is smaller than the sum of its proper divisors (17860063169376).

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

6232905469440 is a wasteful number, since it uses less digits than its factorization.

6232905469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 6232905469440 in words is "six trillion, two hundred thirty-two billion, nine hundred five million, four hundred sixty-nine thousand, four hundred forty".