67951420416 has 264 divisors, whose sum is σ = 218101201344. Its totient is φ = 20201226240.

The previous prime is 67951420391. The next prime is 67951420429. The reversal of 67951420416 is 61402415976.

67951420416 is a `hidden beast` number, since 6 + 7 + 95 + 142 + 0 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×67951420416² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5366605 + ... + 5379251.

Almost surely, 2^67951420416 is an apocalyptic number.

67951420416 is a gapful number since it is divisible by the number (66) 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 67951420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109050600672).

67951420416 is an abundant number, since it is smaller than the sum of its proper divisors (150149780928).

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

67951420416 is a wasteful number, since it uses less digits than its factorization.

67951420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12737 (or 12716 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 67951420416 in words is "sixty-seven billion, nine hundred fifty-one million, four hundred twenty thousand, four hundred sixteen".