464112542880 has 960 divisors, whose sum is σ = 1933817276160. Its totient is φ = 103034363904.

The previous prime is 464112542857. The next prime is 464112542911. The reversal of 464112542880 is 88245211464.

464112542880 is a `hidden beast` number, since 464 + 112 + 54 + 28 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 815663236 + ... + 815663804.

It is an arithmetic number, because the mean of its divisors is an integer number (2014392996).

Almost surely, 2^464112542880 is an apocalyptic number.

464112542880 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 464112542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966908638080).

464112542880 is an abundant number, since it is smaller than the sum of its proper divisors (1469704733280).

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

464112542880 is an frugal number, since it uses more digits than its factorization.

464112542880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 464112542880 in words is "four hundred sixty-four billion, one hundred twelve million, five hundred forty-two thousand, eight hundred eighty".