468283472640 has 1008 divisors, whose sum is σ = 1803448426080. Its totient is φ = 116095057920.

The previous prime is 468283472639. The next prime is 468283472641. The reversal of 468283472640 is 46274382864.

468283472640 is a `hidden beast` number, since 4 + 68 + 283 + 47 + 264 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (468283472639) and next prime (468283472641).

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 (468283472641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1081485864 + ... + 1081486296.

Almost surely, 2^468283472640 is an apocalyptic number.

468283472640 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 468283472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901724213040).

468283472640 is an abundant number, since it is smaller than the sum of its proper divisors (1335164953440).

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

468283472640 is an equidigital number, since it uses as much as digits as its factorization.

468283472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 468283472640 in words is "four hundred sixty-eight billion, two hundred eighty-three million, four hundred seventy-two thousand, six hundred forty".