67789230791040 has 2560 divisors, whose sum is σ = 291753031680000. Its totient is φ = 14806240542720.

The previous prime is 67789230791003. The next prime is 67789230791053. The reversal of 67789230791040 is 4019703298776.

It is a super-2 number, since 2×67789230791040² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 49589780437 + ... + 49589781803.

It is an arithmetic number, because the mean of its divisors is an integer number (113966028000).

Almost surely, 2^{67789230791040} is an apocalyptic number.

67789230791040 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 67789230791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145876515840000).

67789230791040 is an abundant number, since it is smaller than the sum of its proper divisors (223963800888960).

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

67789230791040 is a wasteful number, since it uses less digits than its factorization.

67789230791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 67789230791040 in words is "sixty-seven trillion, seven hundred eighty-nine billion, two hundred thirty million, seven hundred ninety-one thousand, forty".