7649832960 has 936 divisors, whose sum is σ = 33989373600. Its totient is φ = 1589575680.

The previous prime is 7649832919. The next prime is 7649832973. The reversal of 7649832960 is 692389467.

It is a happy number.

7649832960 is a `hidden beast` number, since 76 + 498 + 3 + 29 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7649832897 and 7649832906.

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, 695439355 + ... + 695439365.

Almost surely, 2^7649832960 is an apocalyptic number.

7649832960 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 7649832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16994686800).

7649832960 is an abundant number, since it is smaller than the sum of its proper divisors (26339540640).

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

7649832960 is a wasteful number, since it uses less digits than its factorization.

7649832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 7649832960 is about 87463.3235133447. The cubic root of 7649832960 is about 1970.3829947551.

The spelling of 7649832960 in words is "seven billion, six hundred forty-nine million, eight hundred thirty-two thousand, nine hundred sixty".