67268506536 has 384 divisors, whose sum is σ = 237793968000. Its totient is φ = 17423078400.

The previous prime is 67268506519. The next prime is 67268506559. The reversal of 67268506536 is 63560586276.

It is a happy number.

67268506536 is a `hidden beast` number, since 6 + 7 + 26 + 85 + 0 + 6 + 536 = 666.

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

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, 60656350 + ... + 60657458.

It is an arithmetic number, because the mean of its divisors is an integer number (619255125).

Almost surely, 2^67268506536 is an apocalyptic number.

67268506536 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 67268506536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118896984000).

67268506536 is an abundant number, since it is smaller than the sum of its proper divisors (170525461464).

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

67268506536 is a wasteful number, since it uses less digits than its factorization.

67268506536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 67268506536 in words is "sixty-seven billion, two hundred sixty-eight million, five hundred six thousand, five hundred thirty-six".