7964490240 has 960 divisors, whose sum is σ = 34317803520. Its totient is φ = 1731870720.

The previous prime is 7964490227. The next prime is 7964490251. The reversal of 7964490240 is 420944697.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134991331 + ... + 134991389.

It is an arithmetic number, because the mean of its divisors is an integer number (35747712).

Almost surely, 2^7964490240 is an apocalyptic number.

7964490240 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 7964490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158901760).

7964490240 is an abundant number, since it is smaller than the sum of its proper divisors (26353313280).

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

7964490240 is an equidigital number, since it uses as much as digits as its factorization.

7964490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7964490240 is about 89243.9927390074. The cubic root of 7964490240 is about 1997.0364642302.

The spelling of 7964490240 in words is "seven billion, nine hundred sixty-four million, four hundred ninety thousand, two hundred forty".