407605720704 has 768 divisors, whose sum is σ = 1407108931200. Its totient is φ = 103549501440.

The previous prime is 407605720699. The next prime is 407605720759. The reversal of 407605720704 is 407027506704.

407605720704 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×407605720704² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 972805807 + ... + 972806225.

Almost surely, 2^407605720704 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 407605720704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703554465600).

407605720704 is an abundant number, since it is smaller than the sum of its proper divisors (999503210496).

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

407605720704 is a wasteful number, since it uses less digits than its factorization.

407605720704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 407605720704 in words is "four hundred seven billion, six hundred five million, seven hundred twenty thousand, seven hundred four".