67405552380540 has 480 divisors, whose sum is σ = 239294424821760. Its totient is φ = 15740372044800.

The previous prime is 67405552380539. The next prime is 67405552380637. The reversal of 67405552380540 is 4508325550476.

67405552380540 is a `hidden beast` number, since 6 + 7 + 4 + 0 + 5 + 552 + 3 + 80 + 5 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57135069 + ... + 58302891.

It is an arithmetic number, because the mean of its divisors is an integer number (498530051712).

Almost surely, 2^{67405552380540} is an apocalyptic number.

67405552380540 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 67405552380540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119647212410880).

67405552380540 is an abundant number, since it is smaller than the sum of its proper divisors (171888872441220).

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

67405552380540 is a wasteful number, since it uses less digits than its factorization.

67405552380540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167975 (or 1167964 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 67405552380540 in words is "sixty-seven trillion, four hundred five billion, five hundred fifty-two million, three hundred eighty thousand, five hundred forty".