7406256420 has 36 divisors (see below), whose sum is σ = 22465645020. Its totient is φ = 1975001664.

The previous prime is 7406256413. The next prime is 7406256421. The reversal of 7406256420 is 246526047.

7406256420 is a `hidden beast` number, since 7 + 4 + 0 + 6 + 2 + 5 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2457978084 + 4948278336 = 49578^2 + 70344^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7406256421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20572755 + ... + 20573114.

It is an arithmetic number, because the mean of its divisors is an integer number (624045695).

Almost surely, 2^7406256420 is an apocalyptic number.

It is an amenable number.

7406256420 is an abundant number, since it is smaller than the sum of its proper divisors (15059388600).

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

7406256420 is a wasteful number, since it uses less digits than its factorization.

7406256420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41145884 (or 41145879 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7406256420 is about 86059.6096900282. The cubic root of 7406256420 is about 1949.2441883508.

The spelling of 7406256420 in words is "seven billion, four hundred six million, two hundred fifty-six thousand, four hundred twenty".