7648139520 has 648 divisors, whose sum is σ = 32633657784. Its totient is φ = 1643249664.

The previous prime is 7648139519. The next prime is 7648139533. The reversal of 7648139520 is 259318467.

7648139520 is a `hidden beast` number, since 76 + 48 + 13 + 9 + 520 = 666.

7648139520 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1519128576 + 6129010944 = 38976^2 + 78288^2 .

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

7648139520 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9595762 + ... + 9596558.

It is an arithmetic number, because the mean of its divisors is an integer number (50360583).

It is a 1-persistent number, because it is pandigital, but 2⋅7648139520 = 15296279040 is not.

Almost surely, 2^7648139520 is an apocalyptic number.

7648139520 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 7648139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316828892).

7648139520 is an abundant number, since it is smaller than the sum of its proper divisors (24985518264).

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

7648139520 is a wasteful number, since it uses less digits than its factorization.

7648139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7648139520 is about 87453.6421196968. The cubic root of 7648139520 is about 1970.2375897664.

The spelling of 7648139520 in words is "seven billion, six hundred forty-eight million, one hundred thirty-nine thousand, five hundred twenty".