407066604672 has 256 divisors, whose sum is σ = 1357959456000. Its totient is φ = 107357773824.

The previous prime is 407066604671. The next prime is 407066604697. The reversal of 407066604672 is 276406660704.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (407066604671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1593388 + ... + 1831124.

It is an arithmetic number, because the mean of its divisors is an integer number (5304529125).

Almost surely, 2^407066604672 is an apocalyptic number.

407066604672 is a gapful number since it is divisible by the number (42) 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 407066604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678979728000).

407066604672 is an abundant number, since it is smaller than the sum of its proper divisors (950892851328).

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

407066604672 is a wasteful number, since it uses less digits than its factorization.

407066604672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237788 (or 237762 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 407066604672 in words is "four hundred seven billion, sixty-six million, six hundred four thousand, six hundred seventy-two".