675556436100 has 576 divisors, whose sum is σ = 2614037135360. Its totient is φ = 130674124800.

The previous prime is 675556436089. The next prime is 675556436117. The reversal of 675556436100 is 1634655576.

It is a super-2 number, since 2×675556436100² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 675556436100.

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, 16058694 + ... + 16100706.

Almost surely, 2^675556436100 is an apocalyptic number.

675556436100 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 675556436100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307018567680).

675556436100 is an abundant number, since it is smaller than the sum of its proper divisors (1938480699260).

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

675556436100 is a wasteful number, since it uses less digits than its factorization.

675556436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42100 (or 42093 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 675556436100 in words is "six hundred seventy-five billion, five hundred fifty-six million, four hundred thirty-six thousand, one hundred".