675834243840 has 2592 divisors, whose sum is σ = 3191650076160. Its totient is φ = 133294325760.

The previous prime is 675834243829. The next prime is 675834243863. The reversal of 675834243840 is 48342438576.

675834243840 is a `hidden beast` number, since 6 + 7 + 583 + 4 + 24 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21801104625 + ... + 21801104655.

It is an arithmetic number, because the mean of its divisors is an integer number (1231346480).

Almost surely, 2^675834243840 is an apocalyptic number.

675834243840 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 675834243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595825038080).

675834243840 is an abundant number, since it is smaller than the sum of its proper divisors (2515815832320).

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

675834243840 is a wasteful number, since it uses less digits than its factorization.

675834243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 675834243840 in words is "six hundred seventy-five billion, eight hundred thirty-four million, two hundred forty-three thousand, eight hundred forty".