7506678960 has 240 divisors, whose sum is σ = 27607795488. Its totient is φ = 1812787200.

The previous prime is 7506678937. The next prime is 7506678997. The reversal of 7506678960 is 698766057.

It is a happy number.

7506678960 is a `hidden beast` number, since 7 + 506 + 6 + 78 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 7506678897 and 7506678906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2223834 + ... + 2227206.

Almost surely, 2^7506678960 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 7506678960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13803897744).

7506678960 is an abundant number, since it is smaller than the sum of its proper divisors (20101116528).

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

7506678960 is a wasteful number, since it uses less digits than its factorization.

7506678960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7506678960 is about 86641.0927908922. The cubic root of 7506678960 is about 1958.0146980644.

The spelling of 7506678960 in words is "seven billion, five hundred six million, six hundred seventy-eight thousand, nine hundred sixty".