67551377040 has 240 divisors, whose sum is σ = 259424395776. Its totient is φ = 15431040000.

The previous prime is 67551376961. The next prime is 67551377087. The reversal of 67551377040 is 4077315576.

67551377040 is a `hidden beast` number, since 67 + 5 + 513 + 7 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 11846190 + ... + 11851890.

Almost surely, 2^67551377040 is an apocalyptic number.

67551377040 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 67551377040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129712197888).

67551377040 is an abundant number, since it is smaller than the sum of its proper divisors (191873018736).

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

67551377040 is a wasteful number, since it uses less digits than its factorization.

67551377040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 67551377040 in words is "sixty-seven billion, five hundred fifty-one million, three hundred seventy-seven thousand, forty".