7645555008 has 560 divisors, whose sum is σ = 29396456320. Its totient is φ = 1908043776.

The previous prime is 7645555007. The next prime is 7645555013. The reversal of 7645555008 is 8005555467.

It is a super-2 number, since 2×7645555008² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7645555007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8962710 + ... + 8963562.

It is an arithmetic number, because the mean of its divisors is an integer number (52493672).

Almost surely, 2^7645555008 is an apocalyptic number.

7645555008 is a gapful number since it is divisible by the number (78) 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 7645555008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14698228160).

7645555008 is an abundant number, since it is smaller than the sum of its proper divisors (21750901312).

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

7645555008 is a wasteful number, since it uses less digits than its factorization.

7645555008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The square root of 7645555008 is about 87438.8644025070. The cubic root of 7645555008 is about 1970.0156326759.

The spelling of 7645555008 in words is "seven billion, six hundred forty-five million, five hundred fifty-five thousand, eight".