67797491400 has 384 divisors, whose sum is σ = 237603542400. Its totient is φ = 17766604800.

The previous prime is 67797491389. The next prime is 67797491413. The reversal of 67797491400 is 419479776.

67797491400 is a `hidden beast` number, since 67 + 7 + 97 + 4 + 91 + 400 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83596995 + ... + 83597805.

It is an arithmetic number, because the mean of its divisors is an integer number (618759225).

Almost surely, 2^67797491400 is an apocalyptic number.

67797491400 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 67797491400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118801771200).

67797491400 is an abundant number, since it is smaller than the sum of its proper divisors (169806051000).

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

67797491400 is a wasteful number, since it uses less digits than its factorization.

67797491400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 67797491400 in words is "sixty-seven billion, seven hundred ninety-seven million, four hundred ninety-one thousand, four hundred".