67736245799040 has 1536 divisors, whose sum is σ = 283888894348800. Its totient is φ = 13425366269952.

The previous prime is 67736245798999. The next prime is 67736245799059. The reversal of 67736245799040 is 4099754263776.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2437155384 + ... + 2437183176.

It is an arithmetic number, because the mean of its divisors is an integer number (184823498925).

Almost surely, 2^{67736245799040} is an apocalyptic number.

67736245799040 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 67736245799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141944447174400).

67736245799040 is an abundant number, since it is smaller than the sum of its proper divisors (216152648549760).

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

67736245799040 is a wasteful number, since it uses less digits than its factorization.

67736245799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27914 (or 27889 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 69.

The spelling of 67736245799040 in words is "sixty-seven trillion, seven hundred thirty-six billion, two hundred forty-five million, seven hundred ninety-nine thousand, forty".