68433667900416 has 1056 divisors, whose sum is σ = 253544825683968. Its totient is φ = 17952810762240.

The previous prime is 68433667900391. The next prime is 68433667900457. The reversal of 68433667900416 is 61400976633486.

68433667900416 is a `hidden beast` number, since 6 + 8 + 43 + 36 + 67 + 90 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4324941081 + ... + 4324956903.

Almost surely, 2^{68433667900416} 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 68433667900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126772412841984).

68433667900416 is an abundant number, since it is smaller than the sum of its proper divisors (185111157783552).

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

68433667900416 is a wasteful number, since it uses less digits than its factorization.

68433667900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16069 (or 16039 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 68433667900416 in words is "sixty-eight trillion, four hundred thirty-three billion, six hundred sixty-seven million, nine hundred thousand, four hundred sixteen".