407680668096 has 224 divisors, whose sum is σ = 1199704504320. Its totient is φ = 121388703744.

The previous prime is 407680668077. The next prime is 407680668119. The reversal of 407680668096 is 690866086704.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

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, 10421245 + ... + 10460291.

It is an arithmetic number, because the mean of its divisors is an integer number (5355823680).

Almost surely, 2^407680668096 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 407680668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599852252160).

407680668096 is an abundant number, since it is smaller than the sum of its proper divisors (792023836224).

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

407680668096 is a wasteful number, since it uses less digits than its factorization.

407680668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39211 (or 39201 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 407680668096 in words is "four hundred seven billion, six hundred eighty million, six hundred sixty-eight thousand, ninety-six".