7648695540 has 240 divisors, whose sum is σ = 25293235968. Its totient is φ = 1931060736.

The previous prime is 7648695533. The next prime is 7648695553. The reversal of 7648695540 is 455968467.

7648695540 is a `hidden beast` number, since 7 + 6 + 4 + 8 + 6 + 95 + 540 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3836784 + ... + 3838776.

Almost surely, 2^7648695540 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 7648695540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646617984).

7648695540 is an abundant number, since it is smaller than the sum of its proper divisors (17644540428).

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

7648695540 is a wasteful number, since it uses less digits than its factorization.

7648695540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 7648695540 is about 87456.8210032814. The cubic root of 7648695540 is about 1970.2853340558.

The spelling of 7648695540 in words is "seven billion, six hundred forty-eight million, six hundred ninety-five thousand, five hundred forty".