675369524833920 has 2560 divisors, whose sum is σ = 2901355938201600. Its totient is φ = 146463152209920.

The previous prime is 675369524833873. The next prime is 675369524833931. The reversal of 675369524833920 is 29338425963576.

675369524833920 is a `hidden beast` number, since 6 + 7 + 5 + 3 + 6 + 9 + 52 + 483 + 3 + 92 + 0 = 666.

675369524833920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×675369524833920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 294022430212 + ... + 294022432508.

It is an arithmetic number, because the mean of its divisors is an integer number (1133342163360).

Almost surely, 2^{675369524833920} is an apocalyptic number.

675369524833920 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 675369524833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450677969100800).

675369524833920 is an abundant number, since it is smaller than the sum of its proper divisors (2225986413367680).

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

675369524833920 is a wasteful number, since it uses less digits than its factorization.

675369524833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 72.

The spelling of 675369524833920 in words is "six hundred seventy-five trillion, three hundred sixty-nine billion, five hundred twenty-four million, eight hundred thirty-three thousand, nine hundred twenty".