67259897849664 has 672 divisors, whose sum is σ = 233150028943104. Its totient is φ = 18325634088960.

The previous prime is 67259897849593. The next prime is 67259897849713. The reversal of 67259897849664 is 46694879895276.

It is a happy number.

67259897849664 is a `hidden beast` number, since 6 + 7 + 2 + 59 + 8 + 9 + 7 + 8 + 496 + 64 = 666.

It is a super-2 number, since 2×67259897849664² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 178407987 + ... + 178784589.

It is an arithmetic number, because the mean of its divisors is an integer number (346949447832).

Almost surely, 2^{67259897849664} is an apocalyptic number.

67259897849664 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 67259897849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116575014471552).

67259897849664 is an abundant number, since it is smaller than the sum of its proper divisors (165890131093440).

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

67259897849664 is a wasteful number, since it uses less digits than its factorization.

67259897849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376735 (or 376722 counting only the distinct ones).

The product of its digits is 79009136640, while the sum is 90.

The spelling of 67259897849664 in words is "sixty-seven trillion, two hundred fifty-nine billion, eight hundred ninety-seven million, eight hundred forty-nine thousand, six hundred sixty-four".