7965736240 has 640 divisors, whose sum is σ = 26304030720. Its totient is φ = 2167603200.

The previous prime is 7965736237. The next prime is 7965736243. The reversal of 7965736240 is 426375697.

It is an interprime number because it is at equal distance from previous prime (7965736237) and next prime (7965736243).

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7965736243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130585810 + ... + 130585870.

It is an arithmetic number, because the mean of its divisors is an integer number (41100048).

Almost surely, 2^7965736240 is an apocalyptic number.

7965736240 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 7965736240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152015360).

7965736240 is an abundant number, since it is smaller than the sum of its proper divisors (18338294480).

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

7965736240 is a wasteful number, since it uses less digits than its factorization.

7965736240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 49.

The square root of 7965736240 is about 89250.9733280260. The cubic root of 7965736240 is about 1997.1406005323.

The spelling of 7965736240 in words is "seven billion, nine hundred sixty-five million, seven hundred thirty-six thousand, two hundred forty".