468070379280 has 1440 divisors, whose sum is σ = 2000571955200. Its totient is φ = 97457375232.

The previous prime is 468070379239. The next prime is 468070379321. The reversal of 468070379280 is 82973070864.

468070379280 is a `hidden beast` number, since 468 + 0 + 70 + 37 + 9 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (468070379239) and next prime (468070379321).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2614918231 + ... + 2614918409.

It is an arithmetic number, because the mean of its divisors is an integer number (1389286080).

Almost surely, 2^468070379280 is an apocalyptic number.

468070379280 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 468070379280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000285977600).

468070379280 is an abundant number, since it is smaller than the sum of its proper divisors (1532501575920).

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

468070379280 is a wasteful number, since it uses less digits than its factorization.

468070379280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 468070379280 in words is "four hundred sixty-eight billion, seventy million, three hundred seventy-nine thousand, two hundred eighty".