407367000672 has 192 divisors, whose sum is σ = 1118214429696. Its totient is φ = 129760450560.

The previous prime is 407367000653. The next prime is 407367000707. The reversal of 407367000672 is 276000763704.

407367000672 is digitally balanced in base 4, 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31961533 + ... + 31974275.

It is an arithmetic number, because the mean of its divisors is an integer number (5824033488).

Almost surely, 2^407367000672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407367000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559107214848).

407367000672 is an abundant number, since it is smaller than the sum of its proper divisors (710847429024).

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

407367000672 is a wasteful number, since it uses less digits than its factorization.

407367000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12973 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The spelling of 407367000672 in words is "four hundred seven billion, three hundred sixty-seven million, six hundred seventy-two", and thus it is an aban number.