67420641600 has 504 divisors, whose sum is σ = 267639779680. Its totient is φ = 16594606080.

The previous prime is 67420641583. The next prime is 67420641623. The reversal of 67420641600 is 614602476.

67420641600 is a `hidden beast` number, since 6 + 7 + 4 + 2 + 0 + 6 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5047731 + ... + 5061069.

Almost surely, 2^67420641600 is an apocalyptic number.

67420641600 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 67420641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133819889840).

67420641600 is an abundant number, since it is smaller than the sum of its proper divisors (200219138080).

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

67420641600 is a wasteful number, since it uses less digits than its factorization.

67420641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13389 (or 13362 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

It can be divided in two parts, 674206 and 41600, that added together give a triangular number (715806 = T₁₁₉₆).

The spelling of 67420641600 in words is "sixty-seven billion, four hundred twenty million, six hundred forty-one thousand, six hundred".