67804966752 has 384 divisors, whose sum is σ = 200435171328. Its totient is φ = 19972915200.

The previous prime is 67804966589. The next prime is 67804966771. The reversal of 67804966752 is 25766940876.

It is a super-3 number, since 3×67804966752³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391936138 + ... + 391936310.

It is an arithmetic number, because the mean of its divisors is an integer number (521966592).

Almost surely, 2^67804966752 is an apocalyptic number.

67804966752 is a gapful number since it is divisible by the number (62) 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 67804966752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100217585664).

67804966752 is an abundant number, since it is smaller than the sum of its proper divisors (132630204576).

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

67804966752 is a wasteful number, since it uses less digits than its factorization.

67804966752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 67804966752 in words is "sixty-seven billion, eight hundred four million, nine hundred sixty-six thousand, seven hundred fifty-two".