665264048400 has 1200 divisors, whose sum is σ = 2892773600640. Its totient is φ = 143177932800.

The previous prime is 665264048369. The next prime is 665264048411. The reversal of 665264048400 is 4840462566.

665264048400 is a `hidden beast` number, since 6 + 6 + 526 + 40 + 4 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 269663967 + ... + 269666433.

Almost surely, 2^665264048400 is an apocalyptic number.

665264048400 is a gapful number since it is divisible by the number (60) 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 665264048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446386800320).

665264048400 is an abundant number, since it is smaller than the sum of its proper divisors (2227509552240).

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

665264048400 is a wasteful number, since it uses less digits than its factorization.

665264048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 665264048400 in words is "six hundred sixty-five billion, two hundred sixty-four million, forty-eight thousand, four hundred".