675342360000 has 1400 divisors, whose sum is σ = 3120038967936. Its totient is φ = 140279040000.

The previous prime is 675342359971. The next prime is 675342360013. The reversal of 675342360000 is 63243576.

675342360000 is a `hidden beast` number, since 6 + 7 + 5 + 3 + 42 + 3 + 600 + 0 + 0 = 666.

675342360000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 249478647 + ... + 249481353.

Almost surely, 2^675342360000 is an apocalyptic number.

675342360000 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 675342360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560019483968).

675342360000 is an abundant number, since it is smaller than the sum of its proper divisors (2444696607936).

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

675342360000 is a wasteful number, since it uses less digits than its factorization.

675342360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 675342360000 in words is "six hundred seventy-five billion, three hundred forty-two million, three hundred sixty thousand".