7946864640 has 960 divisors, whose sum is σ = 33963209280. Its totient is φ = 1751777280.

The previous prime is 7946864587. The next prime is 7946864657. The reversal of 7946864640 is 464686497.

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 (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 118609887 + ... + 118609953.

It is an arithmetic number, because the mean of its divisors is an integer number (35378343).

Almost surely, 2^7946864640 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 7946864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16981604640).

7946864640 is an abundant number, since it is smaller than the sum of its proper divisors (26016344640).

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

7946864640 is a wasteful number, since it uses less digits than its factorization.

7946864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 7946864640 is about 89145.1885409415. The cubic root of 7946864640 is about 1995.5622136426.

The spelling of 7946864640 in words is "seven billion, nine hundred forty-six million, eight hundred sixty-four thousand, six hundred forty".