7649032008 has 128 divisors (see below), whose sum is σ = 20894515200. Its totient is φ = 2324505600.

The previous prime is 7649031997. The next prime is 7649032009. The reversal of 7649032008 is 8002309467.

It is not an unprimeable number, because it can be changed into a prime (7649032009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2698560 + ... + 2701392.

It is an arithmetic number, because the mean of its divisors is an integer number (163238400).

Almost surely, 2^7649032008 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 7649032008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447257600).

7649032008 is an abundant number, since it is smaller than the sum of its proper divisors (13245483192).

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

7649032008 is a wasteful number, since it uses less digits than its factorization.

7649032008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 7649032008 is about 87458.7446056711. The cubic root of 7649032008 is about 1970.3142247444.

The spelling of 7649032008 in words is "seven billion, six hundred forty-nine million, thirty-two thousand, eight".