467964562249728 has 480 divisors, whose sum is σ = 1428395544576000. Its totient is φ = 152575112429568.

The previous prime is 467964562249727. The next prime is 467964562249733. The reversal of 467964562249728 is 827942265469764.

467964562249728 is a `hidden beast` number, since 4 + 6 + 7 + 9 + 6 + 4 + 562 + 2 + 49 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467964562249727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13246636801 + ... + 13246672127.

It is an arithmetic number, because the mean of its divisors is an integer number (2975824051200).

Almost surely, 2^{467964562249728} is an apocalyptic number.

467964562249728 is a gapful number since it is divisible by the number (48) 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 467964562249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714197772288000).

467964562249728 is an abundant number, since it is smaller than the sum of its proper divisors (960430982326272).

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

467964562249728 is a wasteful number, since it uses less digits than its factorization.

467964562249728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37107 (or 37078 counting only the distinct ones).

The product of its digits is 17557585920, while the sum is 81.

The spelling of 467964562249728 in words is "four hundred sixty-seven trillion, nine hundred sixty-four billion, five hundred sixty-two million, two hundred forty-nine thousand, seven hundred twenty-eight".