455780597760 has 684 divisors, whose sum is σ = 1671680710908. Its totient is φ = 119248257024.

The previous prime is 455780597729. The next prime is 455780597807. The reversal of 455780597760 is 67795087554.

455780597760 is a `hidden beast` number, since 4 + 5 + 578 + 0 + 59 + 7 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 247669456896 + 208111140864 = 497664^2 + 456192^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8599633894 + ... + 8599633946.

Almost surely, 2^455780597760 is an apocalyptic number.

455780597760 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 455780597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835840355454).

455780597760 is an abundant number, since it is smaller than the sum of its proper divisors (1215900113148).

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

455780597760 is an frugal number, since it uses more digits than its factorization.

455780597760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 455780597760 in words is "four hundred fifty-five billion, seven hundred eighty million, five hundred ninety-seven thousand, seven hundred sixty".