67400407007000 has 64 divisors (see below), whose sum is σ = 157719283207200. Its totient is φ = 26959764374400.

The previous prime is 67400407006951. The next prime is 67400407007047. The reversal of 67400407007000 is 70070400476.

67400407007000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72557474 + ... + 73480526.

Almost surely, 2^{67400407007000} is an apocalyptic number.

It is an amenable number.

67400407007000 is an abundant number, since it is smaller than the sum of its proper divisors (90318876200200).

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

67400407007000 is a wasteful number, since it uses less digits than its factorization.

67400407007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996093 (or 996079 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

Adding to 67400407007000 its reverse (70070400476), we get a palindrome (67470477407476).

The spelling of 67400407007000 in words is "sixty-seven trillion, four hundred billion, four hundred seven million, seven thousand".