7611978240 has 200 divisors, whose sum is σ = 27264443580. Its totient is φ = 2029805568.

The previous prime is 7611978211. The next prime is 7611978247. The reversal of 7611978240 is 428791167.

It is a happy number.

7611978240 is a `hidden beast` number, since 7 + 611 + 9 + 7 + 8 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7539796224 + 72182016 = 86832^2 + 8496^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7611978247) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 189006 + ... + 225714.

Almost surely, 2^7611978240 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 7611978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632221790).

7611978240 is an abundant number, since it is smaller than the sum of its proper divisors (19652465340).

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

7611978240 is an equidigital number, since it uses as much as digits as its factorization.

7611978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36744 (or 36719 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7611978240 is about 87246.6517409121. The cubic root of 7611978240 is about 1967.1275133113.

The spelling of 7611978240 in words is "seven billion, six hundred eleven million, nine hundred seventy-eight thousand, two hundred forty".