468407363760 has 960 divisors, whose sum is σ = 1977190785024. Its totient is φ = 100776960000.

The previous prime is 468407363759. The next prime is 468407363779. The reversal of 468407363760 is 67363704864.

It is a happy number.

468407363760 is a `hidden beast` number, since 468 + 40 + 73 + 6 + 3 + 76 + 0 = 666.

It is a super-2 number, since 2×468407363760² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 468407363697 and 468407363706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 156082260 + ... + 156085260.

Almost surely, 2^468407363760 is an apocalyptic number.

468407363760 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 468407363760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988595392512).

468407363760 is an abundant number, since it is smaller than the sum of its proper divisors (1508783421264).

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

468407363760 is a wasteful number, since it uses less digits than its factorization.

468407363760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 468407363760 in words is "four hundred sixty-eight billion, four hundred seven million, three hundred sixty-three thousand, seven hundred sixty".