675919112400 has 1800 divisors, whose sum is σ = 2984993736120. Its totient is φ = 145825505280.

The previous prime is 675919112381. The next prime is 675919112419. The reversal of 675919112400 is 4211919576.

675919112400 is a `hidden beast` number, since 6 + 7 + 59 + 191 + 1 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (675919112381) and next prime (675919112419).

It can be written as a sum of positive squares in 12 ways, for example, as 207126932544 + 468792179856 = 455112^2 + 684684^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2440141062 + ... + 2440141338.

Almost surely, 2^675919112400 is an apocalyptic number.

675919112400 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 675919112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492496868060).

675919112400 is an abundant number, since it is smaller than the sum of its proper divisors (2309074623720).

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

675919112400 is a wasteful number, since it uses less digits than its factorization.

675919112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 675919112400 in words is "six hundred seventy-five billion, nine hundred nineteen million, one hundred twelve thousand, four hundred".