468724367412 has 384 divisors, whose sum is σ = 1502787686400. Its totient is φ = 123352492032.

The previous prime is 468724367401. The next prime is 468724367459. The reversal of 468724367412 is 214763427864.

468724367412 is a `hidden beast` number, since 4 + 68 + 72 + 43 + 67 + 412 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143911288 + ... + 143914544.

It is an arithmetic number, because the mean of its divisors is an integer number (3913509600).

Almost surely, 2^468724367412 is an apocalyptic number.

468724367412 is a gapful number since it is divisible by the number (42) 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 468724367412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751393843200).

468724367412 is an abundant number, since it is smaller than the sum of its proper divisors (1034063318988).

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

468724367412 is a wasteful number, since it uses less digits than its factorization.

468724367412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3564 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 468724367412 in words is "four hundred sixty-eight billion, seven hundred twenty-four million, three hundred sixty-seven thousand, four hundred twelve".