67074048000 has 480 divisors, whose sum is σ = 248221821120. Its totient is φ = 17871667200.

The previous prime is 67074047993. The next prime is 67074048023. The reversal of 67074048000 is 84047076.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55295394 + ... + 55296606.

It is an arithmetic number, because the mean of its divisors is an integer number (517128794).

Almost surely, 2^67074048000 is an apocalyptic number.

67074048000 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 67074048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124110910560).

67074048000 is an abundant number, since it is smaller than the sum of its proper divisors (181147773120).

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

67074048000 is an equidigital number, since it uses as much as digits as its factorization.

67074048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 67074048000 in words is "sixty-seven billion, seventy-four million, forty-eight thousand".