67348733040 has 240 divisors, whose sum is σ = 246902947200. Its totient is φ = 17014323456.

The previous prime is 67348733033. The next prime is 67348733047. The reversal of 67348733040 is 4033784376.

67348733040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (67348733033) and next prime (67348733047).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67348733047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278191 + ... + 460529.

It is an arithmetic number, because the mean of its divisors is an integer number (1028762280).

Almost surely, 2^67348733040 is an apocalyptic number.

67348733040 is a gapful number since it is divisible by the number (60) 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 67348733040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123451473600).

67348733040 is an abundant number, since it is smaller than the sum of its proper divisors (179554214160).

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

67348733040 is a wasteful number, since it uses less digits than its factorization.

67348733040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182386 (or 182368 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 67348733040 in words is "sixty-seven billion, three hundred forty-eight million, seven hundred thirty-three thousand, forty".