468763278480 has 720 divisors, whose sum is σ = 1926264996864. Its totient is φ = 101720586240.

The previous prime is 468763278409. The next prime is 468763278497. The reversal of 468763278480 is 84872367864.

468763278480 is a `hidden beast` number, since 4 + 6 + 87 + 6 + 3 + 2 + 78 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×468763278480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57960997 + ... + 57969083.

Almost surely, 2^468763278480 is an apocalyptic number.

468763278480 is a gapful number since it is divisible by the number (40) 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 468763278480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963132498432).

468763278480 is an abundant number, since it is smaller than the sum of its proper divisors (1457501718384).

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

468763278480 is a wasteful number, since it uses less digits than its factorization.

468763278480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 468763278480 in words is "four hundred sixty-eight billion, seven hundred sixty-three million, two hundred seventy-eight thousand, four hundred eighty".