6372120960 has 192 divisors, whose sum is σ = 22819240080. Its totient is φ = 1699190784.

The previous prime is 6372120949. The next prime is 6372120973. The reversal of 6372120960 is 690212736.

6372120960 is a `hidden beast` number, since 637 + 2 + 12 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 135034 + ... + 176006.

Almost surely, 2^6372120960 is an apocalyptic number.

6372120960 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 6372120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11409620040).

6372120960 is an abundant number, since it is smaller than the sum of its proper divisors (16447119120).

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

6372120960 is an equidigital number, since it uses as much as digits as its factorization.

6372120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41007 (or 40983 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6372120960 is about 79825.5658295010. The cubic root of 6372120960 is about 1853.9357127299.

It can be divided in two parts, 63721 and 20960, that added together give a square (84681 = 291²).

The spelling of 6372120960 in words is "six billion, three hundred seventy-two million, one hundred twenty thousand, nine hundred sixty".