675128126400 has 2688 divisors, whose sum is σ = 3108761026560. Its totient is φ = 124181544960.

The previous prime is 675128126363. The next prime is 675128126489. The reversal of 675128126400 is 4621821576.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10076539167 + ... + 10076539233.

It is an arithmetic number, because the mean of its divisors is an integer number (1156533120).

Almost surely, 2^675128126400 is an apocalyptic number.

675128126400 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 675128126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554380513280).

675128126400 is an abundant number, since it is smaller than the sum of its proper divisors (2433632900160).

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

675128126400 is a wasteful number, since it uses less digits than its factorization.

675128126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

Adding to 675128126400 its reverse (4621821576), we get a palindrome (679749947976).

The spelling of 675128126400 in words is "six hundred seventy-five billion, one hundred twenty-eight million, one hundred twenty-six thousand, four hundred".