6378765120 has 1344 divisors, whose sum is σ = 30160569600. Its totient is φ = 1254113280.

The previous prime is 6378765103. The next prime is 6378765167. The reversal of 6378765120 is 215678736.

6378765120 is a `hidden beast` number, since 63 + 7 + 8 + 76 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×6378765120² = 81377288912257228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104569890 + ... + 104569950.

It is an arithmetic number, because the mean of its divisors is an integer number (22440900).

Almost surely, 2^6378765120 is an apocalyptic number.

6378765120 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 6378765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15080284800).

6378765120 is an abundant number, since it is smaller than the sum of its proper divisors (23781804480).

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

6378765120 is a wasteful number, since it uses less digits than its factorization.

6378765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6378765120 is about 79867.1717290653. The cubic root of 6378765120 is about 1854.5798502586.

The spelling of 6378765120 in words is "six billion, three hundred seventy-eight million, seven hundred sixty-five thousand, one hundred twenty".