468615127680 has 256 divisors, whose sum is σ = 1896776006400. Its totient is φ = 107112001536.

The previous prime is 468615127663. The next prime is 468615127681. The reversal of 468615127680 is 86721516864.

468615127680 is a `hidden beast` number, since 4 + 6 + 8 + 61 + 512 + 7 + 68 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (468615127681) 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 31 ways as a sum of consecutive naturals, for example, 1816107 + ... + 2058026.

It is an arithmetic number, because the mean of its divisors is an integer number (7409281275).

Almost surely, 2^468615127680 is an apocalyptic number.

468615127680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468615127680 is an abundant number, since it is smaller than the sum of its proper divisors (1428160878720).

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

468615127680 is a wasteful number, since it uses less digits than its factorization.

468615127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874168 (or 3874150 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 468615127680 in words is "four hundred sixty-eight billion, six hundred fifteen million, one hundred twenty-seven thousand, six hundred eighty".