468511263360 has 1152 divisors, whose sum is σ = 2029026954240. Its totient is φ = 97462517760.

The previous prime is 468511263331. The next prime is 468511263379. The reversal of 468511263360 is 63362115864.

468511263360 is a `hidden beast` number, since 4 + 6 + 8 + 5 + 1 + 1 + 2 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 361226232 + ... + 361227528.

It is an arithmetic number, because the mean of its divisors is an integer number (1761308120).

Almost surely, 2^468511263360 is an apocalyptic number.

468511263360 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 468511263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014513477120).

468511263360 is an abundant number, since it is smaller than the sum of its proper divisors (1560515690880).

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

468511263360 is a wasteful number, since it uses less digits than its factorization.

468511263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 468511263360 in words is "four hundred sixty-eight billion, five hundred eleven million, two hundred sixty-three thousand, three hundred sixty".