675400668000 has 192 divisors, whose sum is σ = 2214278119872. Its totient is φ = 179971276800.

The previous prime is 675400667989. The next prime is 675400668011. The reversal of 675400668000 is 866004576.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (675400667989) and next prime (675400668011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16455504 + ... + 16496496.

It is an arithmetic number, because the mean of its divisors is an integer number (11532698541).

Almost surely, 2^675400668000 is an apocalyptic number.

675400668000 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 675400668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107139059936).

675400668000 is an abundant number, since it is smaller than the sum of its proper divisors (1538877451872).

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

675400668000 is a wasteful number, since it uses less digits than its factorization.

675400668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42394 (or 42376 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 675400668000 in words is "six hundred seventy-five billion, four hundred million, six hundred sixty-eight thousand".