7645617540 has 240 divisors, whose sum is σ = 26248489344. Its totient is φ = 1847577600.

The previous prime is 7645617493. The next prime is 7645617559. The reversal of 7645617540 is 457165467.

7645617540 is a `hidden beast` number, since 7 + 6 + 45 + 61 + 7 + 540 = 666.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 8677900 + ... + 8678780.

Almost surely, 2^7645617540 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 7645617540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124244672).

7645617540 is an abundant number, since it is smaller than the sum of its proper divisors (18602871804).

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

7645617540 is a wasteful number, since it uses less digits than its factorization.

7645617540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 7645617540 is about 87439.2219773255. The cubic root of 7645617540 is about 1970.0210034951.

The spelling of 7645617540 in words is "seven billion, six hundred forty-five million, six hundred seventeen thousand, five hundred forty".