675630204480 has 1344 divisors, whose sum is σ = 2991580300800. Its totient is φ = 138726604800.

The previous prime is 675630204479. The next prime is 675630204497. The reversal of 675630204480 is 84402036576.

675630204480 is a `hidden beast` number, since 6 + 7 + 5 + 630 + 2 + 0 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×675630204480² (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1054024960 + ... + 1054025600.

It is an arithmetic number, because the mean of its divisors is an integer number (2225878200).

Almost surely, 2^675630204480 is an apocalyptic number.

675630204480 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 675630204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495790150400).

675630204480 is an abundant number, since it is smaller than the sum of its proper divisors (2315950096320).

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

675630204480 is a wasteful number, since it uses less digits than its factorization.

675630204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 675630204480 in words is "six hundred seventy-five billion, six hundred thirty million, two hundred four thousand, four hundred eighty".