6381577120 has 48 divisors (see below), whose sum is σ = 15869982240. Its totient is φ = 2418280704.

The previous prime is 6381577087. The next prime is 6381577123. The reversal of 6381577120 is 217751836.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6381577123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1046562 + ... + 1052641.

It is an arithmetic number, because the mean of its divisors is an integer number (330624630).

Almost surely, 2^6381577120 is an apocalyptic number.

It is an amenable number.

6381577120 is an abundant number, since it is smaller than the sum of its proper divisors (9488405120).

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

6381577120 is a wasteful number, since it uses less digits than its factorization.

6381577120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099237 (or 2099229 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 6381577120 is about 79884.7740185825. The cubic root of 6381577120 is about 1854.8523331135.

The spelling of 6381577120 in words is "six billion, three hundred eighty-one million, five hundred seventy-seven thousand, one hundred twenty".