7645476720 has 80 divisors (see below), whose sum is σ = 27086837760. Its totient is φ = 1747537152.

The previous prime is 7645476653. The next prime is 7645476721. The reversal of 7645476720 is 276745467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7645476720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7645476721) 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 15 ways as a sum of consecutive naturals, for example, 2273760 + ... + 2277119.

It is an arithmetic number, because the mean of its divisors is an integer number (338585472).

Almost surely, 2^7645476720 is an apocalyptic number.

7645476720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7645476720 is an abundant number, since it is smaller than the sum of its proper divisors (19441361040).

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

7645476720 is a wasteful number, since it uses less digits than its factorization.

7645476720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550902 (or 4550896 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The square root of 7645476720 is about 87438.4167285753. The cubic root of 7645476720 is about 1970.0089085462.

The spelling of 7645476720 in words is "seven billion, six hundred forty-five million, four hundred seventy-six thousand, seven hundred twenty".