7411256640 has 84 divisors (see below), whose sum is σ = 25491644724. Its totient is φ = 1976334336.

The previous prime is 7411256609. The next prime is 7411256663. The reversal of 7411256640 is 466521147.

7411256640 is a `hidden beast` number, since 7 + 4 + 1 + 1 + 2 + 5 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2640315456 + 4770941184 = 51384^2 + 69072^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 7411256595 and 7411256604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1283797 + ... + 1289556.

It is an arithmetic number, because the mean of its divisors is an integer number (303471961).

Almost surely, 2^7411256640 is an apocalyptic number.

It is an amenable number.

7411256640 is an abundant number, since it is smaller than the sum of its proper divisors (18080388084).

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

7411256640 is a wasteful number, since it uses less digits than its factorization.

7411256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573376 (or 2573363 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7411256640 is about 86088.6556986459. The cubic root of 7411256640 is about 1949.6827570695.

Adding to 7411256640 its reverse (466521147), we get a palindrome (7877777787).

The spelling of 7411256640 in words is "seven billion, four hundred eleven million, two hundred fifty-six thousand, six hundred forty".