675407916000 has 768 divisors, whose sum is σ = 2542124632320. Its totient is φ = 174049689600.

The previous prime is 675407915911. The next prime is 675407916107. The reversal of 675407916000 is 619704576.

It is a happy number.

675407916000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 691307512 + ... + 691308488.

It is an arithmetic number, because the mean of its divisors is an integer number (3310058115).

Almost surely, 2^675407916000 is an apocalyptic number.

675407916000 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 675407916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271062316160).

675407916000 is an abundant number, since it is smaller than the sum of its proper divisors (1866716716320).

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

675407916000 is a wasteful number, since it uses less digits than its factorization.

675407916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 675407916000 in words is "six hundred seventy-five billion, four hundred seven million, nine hundred sixteen thousand".