68335050470400 has 2640 divisors, whose sum is σ = 307368740105856. Its totient is φ = 14644433387520.

The previous prime is 68335050470399. The next prime is 68335050470411. The reversal of 68335050470400 is 407405053386.

68335050470400 is a `hidden beast` number, since 6 + 8 + 3 + 35 + 0 + 504 + 70 + 40 + 0 = 666.

It is a super-2 number, since 2×68335050470400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 115236172504 + ... + 115236173096.

Almost surely, 2^{68335050470400} is an apocalyptic number.

68335050470400 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 68335050470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153684370052928).

68335050470400 is an abundant number, since it is smaller than the sum of its proper divisors (239033689635456).

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

68335050470400 is a wasteful number, since it uses less digits than its factorization.

68335050470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 68335050470400 in words is "sixty-eight trillion, three hundred thirty-five billion, fifty million, four hundred seventy thousand, four hundred".