673375388400 has 2400 divisors, whose sum is σ = 3038115548160. Its totient is φ = 140507136000.

The previous prime is 673375388393. The next prime is 673375388419. The reversal of 673375388400 is 4883573376.

673375388400 is a `hidden beast` number, since 6 + 73 + 37 + 538 + 8 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×673375388400³ (a number of 36 digits) contains 333 as substring.

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 479 ways as a sum of consecutive naturals, for example, 7566015556 + ... + 7566015644.

Almost surely, 2^673375388400 is an apocalyptic number.

673375388400 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 673375388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519057774080).

673375388400 is an abundant number, since it is smaller than the sum of its proper divisors (2364740159760).

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

673375388400 is a wasteful number, since it uses less digits than its factorization.

673375388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 673375388400 in words is "six hundred seventy-three billion, three hundred seventy-five million, three hundred eighty-eight thousand, four hundred".