468999797760 has 1056 divisors, whose sum is σ = 1838616579072. Its totient is φ = 113945149440.

The previous prime is 468999797753. The next prime is 468999797797. The reversal of 468999797760 is 67797999864.

It is a happy number.

468999797760 is a `hidden beast` number, since 468 + 9 + 9 + 9 + 7 + 97 + 7 + 60 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 468999797760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1730626425 + ... + 1730626695.

Almost surely, 2^468999797760 is an apocalyptic number.

468999797760 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 468999797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919308289536).

468999797760 is an abundant number, since it is smaller than the sum of its proper divisors (1369616781312).

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

468999797760 is a wasteful number, since it uses less digits than its factorization.

468999797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2592487296, while the sum is 81.

The spelling of 468999797760 in words is "four hundred sixty-eight billion, nine hundred ninety-nine million, seven hundred ninety-seven thousand, seven hundred sixty".