68336104550400 has 1248 divisors, whose sum is σ = 266998134636800. Its totient is φ = 17084606054400.

The previous prime is 68336104550353. The next prime is 68336104550423. The reversal of 68336104550400 is 405540163386.

68336104550400 is a `hidden beast` number, since 6 + 8 + 3 + 36 + 104 + 5 + 504 + 0 + 0 = 666.

It is a super-2 number, since 2×68336104550400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5095519695 + ... + 5095533105.

Almost surely, 2^{68336104550400} is an apocalyptic number.

68336104550400 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 68336104550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133499067318400).

68336104550400 is an abundant number, since it is smaller than the sum of its proper divisors (198662030086400).

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

68336104550400 is a wasteful number, since it uses less digits than its factorization.

68336104550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13570 (or 13537 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 68336104550400 in words is "sixty-eight trillion, three hundred thirty-six billion, one hundred four million, five hundred fifty thousand, four hundred".