67120950400 has 384 divisors, whose sum is σ = 211226659200. Its totient is φ = 20517027840.

The previous prime is 67120950397. The next prime is 67120950409. The reversal of 67120950400 is 405902176.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (67120950409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7230562 + ... + 7239838.

It is an arithmetic number, because the mean of its divisors is an integer number (550069425).

Almost surely, 2^67120950400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67120950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105613329600).

67120950400 is an abundant number, since it is smaller than the sum of its proper divisors (144105708800).

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

67120950400 is a wasteful number, since it uses less digits than its factorization.

67120950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 9327 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 67120950400 in words is "sixty-seven billion, one hundred twenty million, nine hundred fifty thousand, four hundred".