67990484090880 has 2720 divisors, whose sum is σ = 283727829236544. Its totient is φ = 15426851438592.

The previous prime is 67990484090759. The next prime is 67990484090899. The reversal of 67990484090880 is 8809048409976.

67990484090880 is a `hidden beast` number, since 67 + 9 + 9 + 0 + 484 + 0 + 9 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 67990484090799 and 67990484090808.

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 159 ways as a sum of consecutive naturals, for example, 393008578474 + ... + 393008578646.

Almost surely, 2^{67990484090880} is an apocalyptic number.

67990484090880 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 67990484090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141863914618272).

67990484090880 is an abundant number, since it is smaller than the sum of its proper divisors (215737345145664).

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

67990484090880 is a wasteful number, since it uses less digits than its factorization.

67990484090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 67990484090880 in words is "sixty-seven trillion, nine hundred ninety billion, four hundred eighty-four million, ninety thousand, eight hundred eighty".