67778397254832 has 240 divisors, whose sum is σ = 197288204853888. Its totient is φ = 19883693598720.

The previous prime is 67778397254773. The next prime is 67778397254837. The reversal of 67778397254832 is 23845279387776.

67778397254832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×67778397254832² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67778397254837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110011543 + ... + 110625929.

Almost surely, 2^{67778397254832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67778397254832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98644102426944).

67778397254832 is an abundant number, since it is smaller than the sum of its proper divisors (129509807599056).

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

67778397254832 is a wasteful number, since it uses less digits than its factorization.

67778397254832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614608 (or 614559 counting only the distinct ones).

The product of its digits is 5974456320, while the sum is 78.

The spelling of 67778397254832 in words is "sixty-seven trillion, seven hundred seventy-eight billion, three hundred ninety-seven million, two hundred fifty-four thousand, eight hundred thirty-two".