67903251287040 has 1056 divisors, whose sum is σ = 257430462569280. Its totient is φ = 16448615350272.

The previous prime is 67903251287023. The next prime is 67903251287041. The reversal of 67903251287040 is 4078215230976.

It is a happy number.

67903251287040 is a `hidden beast` number, since 6 + 7 + 9 + 0 + 3 + 2 + 512 + 87 + 0 + 40 = 666.

It is a super-2 number, since 2×67903251287040² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67903251287041) by changing a digit.

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, 22870746676 + ... + 22870749644.

It is an arithmetic number, because the mean of its divisors is an integer number (243778847130).

It is a 1-persistent number, because it is pandigital, but 2⋅67903251287040 = 135806502574080 is not.

Almost surely, 2^{67903251287040} is an apocalyptic number.

67903251287040 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 67903251287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128715231284640).

67903251287040 is an abundant number, since it is smaller than the sum of its proper divisors (189527211282240).

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

67903251287040 is a wasteful number, since it uses less digits than its factorization.

67903251287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 67903251287040 in words is "sixty-seven trillion, nine hundred three billion, two hundred fifty-one million, two hundred eighty-seven thousand, forty".