465561377280 has 120 divisors (see below), whose sum is σ = 1612370068452. Its totient is φ = 124149694464.

The previous prime is 465561377257. The next prime is 465561377321. The reversal of 465561377280 is 82773165564.

465561377280 is a `hidden beast` number, since 4 + 6 + 5 + 561 + 3 + 7 + 72 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 458253179136 + 7308198144 = 676944^2 + 85488^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10080289 + ... + 10126368.

Almost surely, 2^465561377280 is an apocalyptic number.

465561377280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465561377280 is an abundant number, since it is smaller than the sum of its proper divisors (1146808691172).

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

465561377280 is a wasteful number, since it uses less digits than its factorization.

465561377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20206686 (or 20206667 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 465561377280 in words is "four hundred sixty-five billion, five hundred sixty-one million, three hundred seventy-seven thousand, two hundred eighty".