7806032640 has 576 divisors, whose sum is σ = 32471147520. Its totient is φ = 1738506240.

The previous prime is 7806032639. The next prime is 7806032677. The reversal of 7806032640 is 462306087.

7806032640 is a `hidden beast` number, since 7 + 8 + 0 + 6 + 0 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 7806032595 and 7806032604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9918327 + ... + 9919113.

It is an arithmetic number, because the mean of its divisors is an integer number (56373520).

Almost surely, 2^7806032640 is an apocalyptic number.

7806032640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7806032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16235573760).

7806032640 is an abundant number, since it is smaller than the sum of its proper divisors (24665114880).

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

7806032640 is a wasteful number, since it uses less digits than its factorization.

7806032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7806032640 is about 88351.7551608342. The cubic root of 7806032640 is about 1983.7036281198.

The spelling of 7806032640 in words is "seven billion, eight hundred six million, thirty-two thousand, six hundred forty".