6232965120 has 256 divisors, whose sum is σ = 22177044000. Its totient is φ = 1660944384.

The previous prime is 6232965107. The next prime is 6232965139. The reversal of 6232965120 is 215692326.

6232965120 is a `hidden beast` number, since 623 + 2 + 9 + 6 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×6232965120² = 77699708374273228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4422976 + ... + 4424384.

Almost surely, 2^6232965120 is an apocalyptic number.

6232965120 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 6232965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088522000).

6232965120 is an abundant number, since it is smaller than the sum of its proper divisors (15944078880).

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

6232965120 is an equidigital number, since it uses as much as digits as its factorization.

6232965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6232965120 is about 78949.1299508741. The cubic root of 6232965120 is about 1840.3407056550.

It can be divided in two parts, 62329 and 65120, that added together give a square (127449 = 357²).

The spelling of 6232965120 in words is "six billion, two hundred thirty-two million, nine hundred sixty-five thousand, one hundred twenty".