68267479104000 has 2240 divisors, whose sum is σ = 293125595368320. Its totient is φ = 15676416000000.

The previous prime is 68267479103977. The next prime is 68267479104053. The reversal of 68267479104000 is 40197476286.

68267479104000 is a `hidden beast` number, since 6 + 8 + 2 + 67 + 479 + 104 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9751100500 + ... + 9751107500.

Almost surely, 2^{68267479104000} is an apocalyptic number.

68267479104000 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 68267479104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146562797684160).

68267479104000 is an abundant number, since it is smaller than the sum of its proper divisors (224858116264320).

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

68267479104000 is an equidigital number, since it uses as much as digits as its factorization.

68267479104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7082 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 68267479104000 in words is "sixty-eight trillion, two hundred sixty-seven billion, four hundred seventy-nine million, one hundred four thousand".