675429580800 has 1536 divisors, whose sum is σ = 2798711496000. Its totient is φ = 160526499840.

The previous prime is 675429580789. The next prime is 675429580801. The reversal of 675429580800 is 8085924576.

675429580800 is a `hidden beast` number, since 6 + 7 + 54 + 2 + 9 + 580 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675429580801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23290675186 + ... + 23290675214.

Almost surely, 2^675429580800 is an apocalyptic number.

675429580800 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 675429580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399355748000).

675429580800 is an abundant number, since it is smaller than the sum of its proper divisors (2123281915200).

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

675429580800 is an frugal number, since it uses more digits than its factorization.

675429580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 675429580800 in words is "six hundred seventy-five billion, four hundred twenty-nine million, five hundred eighty thousand, eight hundred".