67397033664 has 336 divisors, whose sum is σ = 213244956288. Its totient is φ = 21032275968.

The previous prime is 67397033659. The next prime is 67397033729. The reversal of 67397033664 is 46633079376.

67397033664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 67397033664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60014607 + ... + 60015729.

It is an arithmetic number, because the mean of its divisors is an integer number (634657608).

Almost surely, 2^67397033664 is an apocalyptic number.

67397033664 is a gapful number since it is divisible by the number (64) 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 67397033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106622478144).

67397033664 is an abundant number, since it is smaller than the sum of its proper divisors (145847922624).

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

67397033664 is a wasteful number, since it uses less digits than its factorization.

67397033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 54.

The spelling of 67397033664 in words is "sixty-seven billion, three hundred ninety-seven million, thirty-three thousand, six hundred sixty-four".