7407407406 has 64 divisors (see below), whose sum is σ = 17507782656. Its totient is φ = 2044569600.

The previous prime is 7407407401. The next prime is 7407407417. The reversal of 7407407406 is 6047047047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7407407401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793486 + ... + 802766.

It is an arithmetic number, because the mean of its divisors is an integer number (273559104).

Almost surely, 2^7407407406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7407407406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8753891328).

7407407406 is an abundant number, since it is smaller than the sum of its proper divisors (10100375250).

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

7407407406 is a wasteful number, since it uses less digits than its factorization.

7407407406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9937.

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 7407407406 is about 86066.2965742107. The cubic root of 7407407406 is about 1949.3451586851.

The spelling of 7407407406 in words is "seven billion, four hundred seven million, four hundred seven thousand, four hundred six".