468947606760 has 128 divisors (see below), whose sum is σ = 1567178496000. Its totient is φ = 124731111168.

The previous prime is 468947606759. The next prime is 468947606761. The reversal of 468947606760 is 67606749864.

468947606760 is a `hidden beast` number, since 46 + 8 + 9 + 476 + 0 + 67 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (468947606759) and next prime (468947606761).

It is not an unprimeable number, because it can be changed into a prime (468947606761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137992 + ... + 978231.

It is an arithmetic number, because the mean of its divisors is an integer number (12243582000).

Almost surely, 2^468947606760 is an apocalyptic number.

468947606760 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 468947606760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783589248000).

468947606760 is an abundant number, since it is smaller than the sum of its proper divisors (1098230889240).

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

468947606760 is a wasteful number, since it uses less digits than its factorization.

468947606760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116632 (or 1116622 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 468947606760 in words is "four hundred sixty-eight billion, nine hundred forty-seven million, six hundred six thousand, seven hundred sixty".