7648542720 has 1024 divisors, whose sum is σ = 35231616000. Its totient is φ = 1528823808.

The previous prime is 7648542689. The next prime is 7648542749. The reversal of 7648542720 is 272458467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402554871 + ... + 402554889.

It is an arithmetic number, because the mean of its divisors is an integer number (34405875).

Almost surely, 2^7648542720 is an apocalyptic number.

7648542720 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 7648542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17615808000).

7648542720 is an abundant number, since it is smaller than the sum of its proper divisors (27583073280).

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

7648542720 is a wasteful number, since it uses less digits than its factorization.

7648542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 7648542720 is about 87455.9473106318. The cubic root of 7648542720 is about 1970.2722119485.

The spelling of 7648542720 in words is "seven billion, six hundred forty-eight million, five hundred forty-two thousand, seven hundred twenty".