1665072624960 has 504 divisors, whose sum is σ = 6139211959296. Its totient is φ = 429679365120.

The previous prime is 1665072624953. The next prime is 1665072624967. The reversal of 1665072624960 is 694262705661.

1665072624960 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 0 + 7 + 2 + 624 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1665072624953) and next prime (1665072624967).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1665072624897 and 1665072624906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1665072624967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65072329 + ... + 65097911.

Almost surely, 2^{1665072624960} is an apocalyptic number.

1665072624960 is a gapful number since it is divisible by the number (10) 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 1665072624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069605979648).

1665072624960 is an abundant number, since it is smaller than the sum of its proper divisors (4474139334336).

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

1665072624960 is an frugal number, since it uses more digits than its factorization.

1665072624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25655 (or 25624 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1665072624960 in words is "one trillion, six hundred sixty-five billion, seventy-two million, six hundred twenty-four thousand, nine hundred sixty".