67849311744 has 200 divisors, whose sum is σ = 203293277088. Its totient is φ = 22529249280.

The previous prime is 67849311683. The next prime is 67849311763. The reversal of 67849311744 is 44711394876.

It is a happy number.

67849311744 is a `hidden beast` number, since 6 + 78 + 493 + 11 + 74 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11235894 + ... + 11241930.

Almost surely, 2^67849311744 is an apocalyptic number.

67849311744 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 67849311744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101646638544).

67849311744 is an abundant number, since it is smaller than the sum of its proper divisors (135443965344).

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

67849311744 is an equidigital number, since it uses as much as digits as its factorization.

67849311744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 6313 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 67849311744 in words is "sixty-seven billion, eight hundred forty-nine million, three hundred eleven thousand, seven hundred forty-four".